Calculus II For Dummies. Give today and help us reach more students. El problema de encontrar la integral de csc x involucra funciones de integraci&243;n y trigonom&233;tricas. Find the answer to this question along with unlimited Maths questions and prepare better for JEE 2020 exam. Answer link. csc(x) 4 csc (x) 4. csc 2 x d x or cosec 2 x d x. eudu eu C e u d u e u C. The integral of with respect to is. Cosec x is the reciprocal of sin x and cot x is equal to (sin x) (cos x). (2 x)) Mathxx. The indefinite integral of cosecant squared of angle x function with respect to x is equal to sum of the negative cotangent of angle x and a constant of integration. Find the Antiderivative csc(x)2. u cscx cotx du dx cscxcotx csc2x. (1) csc (k) cot (k) d k csc (k) c. According to the logarithms, the natural logarithm is also written in the below form simply in mathematics. csch2f(x)f(x) dx coth f(x) c csch 2 f (x) f (x) d x coth f (x) c. The integral of sec 2 x is tan x (c). 1 sin(2x) dx 1 sin (2 x) d x. Figure 4. Integral Calculator computes an indefinite integral (anti-derivative) of a function with respect to a given variable using analytical integration. For integrals of this type, the identities. Type in any integral to get the solution, steps and graph. One way is to use the method of. How do you find the integral of int cscn(x) if m or n is an integer Calculus Introduction to Integration Integrals of Trigonometric Functions. Write as a function. See the steps, tricks and verification of the antiderivative. Figure 4. 1 Graph of the secant function, f(x) sec x 1 cos x f (x) sec x 1 cos x. I believe you need to try this integral out and see what is really happening. Evaluate the Integral integral of csc (5x) with respect to x. Write as a function. Type in any integral to get the solution, steps and graph. Here is the derivation of the formula of integral of cot x by using integration by substitution method. Integral of Cot x Proof by Substitution. The integration of cosecant cotangent is of the form. Save to Notebook Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. Learn Practice Download Integral of Cosec x To find the integral of cosec x, we will have to use trigonometry. Free antiderivative calculator - solve integrals with all the steps. The cosecant graph has no x-intercepts, that is, the graph of cosecant does not intersect the x-axis at any point. Strategy The strategy is not obvious. Add csc 3 x d x to both sides of the above and simplify to obtain. Since the derivative of is , the integral of is. Also, we know that the derivative of cotx is -cosec 2 x which implies the integral of cosec 2 x is equal to -cotx K. 2 The Definite Integral; 5. I am interested in a proof for the integral of operatornamecosec2x that does not require differentiating cot x. We can do the integration of cosecant x in multiple methods such as By substitution method By partial fractions By trigonometric formulas. Step 4. 2 The Definite Integral; 5. Related Symbolab blog posts. Solve for Math Processing Error and add the constant of integration (-cotxcscx-ln (abs (cotxcscx)))2C We have Iintcsc3xdx We will use integration by parts. commath for lea. Answer integral of (top curve-bottom curve) from a to b (with respect to x) integral of (right curve - left curve) from a to b (with respect to y) Question Disk Method Answer volume pi the integral of (radius)2 from a to b radius top curve - bottom curve (horizontal, x) or right curve - left curve (vertical axis, y). 3 The Fundamental Theorem of Calculus; 5. Integral of csc(2x) vs. Exercise 7. Now, when we integrate. First, rewrite the integral as Iintcsc2xcscxdx Since integration by parts takes the form intudvuv. The function F (x) F (x) can be found by finding the indefinite integral of the derivative f (x) f (x). You cannot split up your integral like you have tried in your original post. The integral of the cosecant of angle x with respect to x is equal to the natural logarithm of the subtraction of cot of angle x from cosecant of angle x, and plus the constant of integration. Learn how to prove that the integral of csc x is - ln csc x cot x C using a simple substitution and integration by parts. Type in any integral to get the solution, steps and graph. Integral of csc (x)cot (x) by x cot x csc xdx 1sin x. Notice that the last two lines of Equation 1. Evaluate the integral. Convert from 1 sin(2x) 1 sin (2 x) to csc(2x) csc (2 x). For example, ddx (x 2) 2x and so 2x dx x 2 C. By signing up, you'll get thousands of step-by-step solutions to your homework. by multiplying the integrand by a cleverly chosen &92;(1&92;frac&92;cot x-&92;csc x&92;cot x-&92;csc x&92;) and then substituting &92;(u&92;cot x -&92;csc x&92;text,&92;) &92;(&92;, du (-&92;csc2 x&92;csc x &92;cot x)&92;,&92;, dx&92;text,&92;) or. This is because the derivative of tan x is sec 2 x; The integral of cosec 2 x is -cot x (c). The formula of integral of csc contains integral sign, coefficient of integration and the function as csc x. Example 2. I am searching for a demonstration of this formula. 6 Integrals Involving Exponential and Logarithmic Functions; 5. The steps described below allow one to review many ideas in trigonometry and in calculating integrals; also the final result is quite simple. Type in any integral to get the solution, steps and graph. Solve for Math Processing Error and add the constant of integration (-cotxcscx-ln (abs (cotxcscx)))2C We have Iintcsc3xdx We will use integration by parts. 4 Integration Formulas and the Net Change Theorem; 5. Using product rule, we have. This result can be proved by substituting cscx with u and using the formula for the integral of a hyperbolic sine function. Weve covered quite a few integration techniques, some are straightforward, some are more challenging, but finding. 2 csc 3 (x) d x cot x csc x ln csc x cot x . Rewrite the integrand as sin x sin 4 x sin x (1 cos 2 x) 2. Tap for more steps. But it is not possible (not easy) every time to. That is, sec(x) sec x sec (x) sec x. , try supposing that there is a chain rule at the end of the differentiation were undoing) let u 2x, so du 2 dx. 4 Answers. By using the quotient rule and trigonometric identities, we can obtain the following derivatives The derivative of displaystyle cot x cotx is displaystyle- csc 2 x csc2x. The definite integral is the area under the curve from a to b. sin2x 1 2 1 2cos(2x) 1 cos(2x) 2. Step 11. You can write csc(x)cot(x)dx as 1 sin(x) cos(x) sin(x) dx cos(x) sin2(x) dx . Ambas cosas son muy &250;tiles en ingenier&237;a, construcci&243;n, astronom&237;a, medicina. Apply pythagorean identity. Join Teachoo Black. But instead of doing the substution explicitly, they wrote that the numerator, (csc2x cscxcotx)dx was the differential of the denominator, cscx. We integrate each in turn below. comchannelUCFhqELShDKKPv0JRCDQgFoQjoinHere is the technique to solve this question and how to. This is also known as the antiderivative of sec x. For integrals of this type, the identities. Type in any integral to get the solution, steps and graph. Integral csc (x) Resources Cool Tools Formulas & Tables References Test Preparation Study Tips Wonders of Math Search Proof Integral csc (x) (Math Calculus Integrals Table Of csc x) Discussion of csc x - lncsc x cot x C. Derivatives of Csc, Sec and Cot Functions. It is defined as the reciprocal of the sine function. These reduction formulas can be used to integrate any even power of sec x or csc x, and to get the integral of any odd power of sec x or csc x in. The process of getting f(x) from f&39;(x) is called integration. Natural Language; Math Input; Extended Keyboard Examples Upload Random. Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. Calculate Arcsine, Arccosine, Arctangent, Arccotangent, Arcsecant and Arccosecant for values of x and get answers in degrees, ratians and pi. Then du cot(x)csc(x)dx d u - cot (x) csc (x) d x, so 1 cot(x)csc(x) du dx 1 - cot (x) csc (x) d u d x. Weve covered methods and rules to differentiate functions of the form yf (x), where y is explicitly defined as. F (x) csc(x)dx F (x) csc (x) d x. Answer link. Advanced Math Solutions Integral Calculator, common functions. The function F (x) F (x) can be found by finding the indefinite integral of the derivative f (x) f (x). Tap for more steps. int (cscx)2 dx -cotxC The derivative of cotx is csc2x, so the integral of csc2x is cotx C If you really want the integral of the integral, then use int int (cscx)2 dx dx int -cotxC dx where C is an arbitrary constant int (-cosxsinx C) dx where C is an arbitrary constant -lnabssinx Cx D where C,D are. Then du 5dx d u 5 d x, so 1 5du dx 1 5 d u d x. Exponential and Logarithmic Integrals. Learn how to calculate the integral of cosecant (x) using different integration techniques, such as substitution method, partial fraction, and integration by parts. The definite integral of from to , denoted , is defined to be the signed area between and the axis, from to. so far iv tried a few different things 1. There are various methods to obtain the integral of cosec x, including the substitution method, the trigonometric method, and the partial fraction method. Then du 6dx d u 6 d x, so 1 6du dx 1 6 d u d x. Draw graph Edit expression Direct link to this page. Save to Notebook Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. It also allows to draw graphs of the function and its. Practice your math skills and learn step by step with our math solver. Add the original integral Math Processing Error to both sides. It involves a trigonometric function cosecant(x). Let y cos&179;x Let u cos x therefore y. Integration can be used to find areas, volumes, central points and many useful things. Solution We know that the first derivative of cosec x is -cosec x cot x. According to the logarithms, the natural logarithm is also written in the below form simply in mathematics. 8K subscribers Subscribe 224 Share 22K views 4 years ago Calculus Integration Like the function sec (x), there is no obvious way to integrate csc (x). color(blue)(int(uv)dxuintvdx-int(u&39;intvdx)dx Let, uarc cscx and v1to Let color(red. For this, let us recall that cot x cos xsin x. So the integral becomes (cosx)3sinxdx. sec2x 2 C. Polynomial long division is very similar to numerical long division where you first divide the large part of the. Set up the integral to solve. csc f(x)f(x) dx lncsc f(x) cot f. Now, when we integrate. Integral of csc(2x) vs. Integral csc (x) 1. So consider second function as 1 1. Mathematically, the integral of csc(x) can be represented as csc(x) dx, where the integral symbol () signifies the integration process, csc(x) represents the cosecant function, and. Save to Notebook Free antiderivative calculator - solve integrals with all the steps. 79; Spanier and Oldham 1987, p. integral csc4x. Sometimes an approximation to a definite integral is. I am searching for a demonstration of this formula. Calculus II For Dummies. Subscribe httpsyoutube. Integral Calculator. Integral Calculator. Free antiderivative calculator - solve integrals with all the steps. For some functions, evaluating indefinite integrals follows directly from properties of derivatives. Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. Type in any integral to get the solution, steps and graph. The cosecant function is positive in the first and second quadrants. Step 11. Integral Calculator. Write as a function. Integration is the inverse of differentiation. Tap for more steps. Combine csc(u) csc (u) and 1 6 1 6. Using the integral reduction formula for csc and got 1 3cot(x)csc2(x) 2 3cot(x) C 1 3 cot (x) csc 2 (x) 2 3 cot (x) C. Proof Strategy The strategy is not obvious. Recall that ddxcotx-csc2x Then, ddx (-cotx)csc2x So, since we differentiate -cotx to get csc2x. csc2x cscxcotx cscx cotx dx. 3 The Fundamental Theorem of Calculus; 5. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. It also allows to draw graphs of the function. Identify which part of the integrand is the "more complicated" function &92; (f (x)&92;), and let it be &92; (u&92;) &92; (u f (x). Answer link. You cannot split up your integral like you have tried in your original post. High School Math Solutions Polynomial Long Division Calculator. Solution We know that the first derivative of cosec x is -cosec x cot x. Some of the following trigonometry identities may be needed. Advanced Math Solutions Integral Calculator, the basics. The integral of product of cosecant and cot functions formula can be written in terms of any variable in integral calculus. Lets begin Integration of Cosecx or Cosec x. Read More. Type in any integral to get the solution, steps and graph. Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step. Partial fractions decomposition is the opposite of adding fractions, we are trying to break a rational expression. Specifically, they are the inverses of the sine, cosine, tangent, cotangent, secant, and cosecant functions, and are used to. Popular Problems. Step 2 Click the blue arrow to submit. This video shows how to find the integral of Integral of csc4(x)cot6(x). 25268025 x 0. The two methods are tangent half-angle substitution and u-substitution. Integral Calculator computes an indefinite integral (anti-derivative) of a function with respect to a given variable using analytical integration. Then you use the Fundamental Theorem of Calculus, as you have noted. That is either. Detailed step by step solution for integral of csc2(u) Please add a message. The integral of &92;csc(x) is -&92;ln &92;lvert &92;csc(x) &92;cot(x) &92;rvert C. The function can be found by finding the indefinite integral of the derivative. Cosec x is the reciprocal of sin x and cot x is equal to (sin x) (cos x). Then du cot(x)csc(x)dx d u - cot (x) csc (x) d x, so 1 cot(x)csc(x) du dx 1 - cot (x) csc (x) d u d x. 8K subscribers Subscribe 224 Share 22K views 4 years ago Calculus Integration Like the function sec (x), there is no obvious way to integrate csc (x). One condition upon these results is that x must be measured in radians. Both types of integrals are tied together by the fundamental theorem of calculus. The value of csc x is positive when sin x is positive and it is negative when sin x is negative. Type in any integral to get the solution, steps and graph. Recall that d dx cotx csc2x. When A is expressed in radians, the cosecant function has a period of 2. Combine and. I csc1x 1dx (i) I csc 1 x 1 d x. This formula can be useful for finding the rate of change of csc x, which is the reciprocal. sec2x 2 C. Integration can be used to find areas, volumes, central points and many useful things. Integration of Cscx Cotx. Integration can be used to find areas, volumes, central points and many useful things. Step 2 Click the blue arrow to submit. Detailed step by step solution for integral of csc2(u) Please add a message. Integral Calculator. Proof Strategy The strategy is not obvious. One condition upon these results is that x must be measured in radians. The variants Arccscz (e. See all questions in Derivatives of ysec(x), ycot(x), y csc(x) Impact of this question. Step 2 Click the blue arrow to submit. Hot Network Questions Does 'centerline' really define 'ERROR' in TeX Did West Germany build or mandate bomb shelters for ordinary civilians. where m and n are integers and at least one of m and n is odd. Students, teachers, parents, and everyone can find solutions to their math problems instantly. 1 sin2x. Type in any integral to get the solution, steps and graph. Free antiderivative calculator - solve integrals with all the steps. Weve covered methods and rules to differentiate functions of the form yf (x), where y is explicitly defined as. cscx cscx sinx cscx. Integration is the algebraic method of finding the integral for a function at any point on the graph. 6 Integrals Involving Exponential and Logarithmic Functions; 1. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. This is also known as the antiderivative of cosec x. The indefinite integral of cosecant squared of angle x function with respect to x is equal to sum of the negative cotangent of angle x and a constant of integration. F (x) csc(x)dx F (x) csc (x) d x. Evaluate the Integral integral of csc (5x) with respect to x. To solve this integration it must have at least two functions, however it has only one function csc1x csc 1 x. Then, 3. intcsc2xdx-cotxC This is actually a common integral. Integration of cosecant squared of x is an important integral formula in integral calculus, and this integral belongs to the trigonometric formulae. Add the original integral Math Processing Error to both sides. Type in any integral to get the solution, steps and graph. The function F (x) F (x) can be found by finding the indefinite integral of the derivative f (x) f (x). So what has been done here is valid for say the interval x (0,) x (0,). Let w cscx cotx. Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. Start with the integral f (g (x)). For example, for n 1, x n d x x n 1 n 1 C, which comes directly from. httpsintegralsforyou. (ii) This can be done by integration by parts, but it is easier to use Theorem 2. (ii) This can be done by integration by parts, but it is easier to use Theorem 2. Let n 2 - m. First, rewrite the integral as Iintcsc2xcscxdx Since integration by parts takes the form intudvuv-intvdu, let. Detailed step by step solution for integral of (csc (x)cot (x)). Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. So consider second function as 1 1. Then, d dx (cotx) csc2x. Advanced Math Solutions Integral Calculator, the basics. You can integrate powers of cotangents and cosecants similar to the way you do tangents and secant. Evaluate integral cot x csc2 x dx. The new integral will be f (u)du. Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step. homes for sale in scottsbluff ne, free pornstar dvd
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Integral csc2 2 theta cot 2 theta d theta u cot 2 theta; Evaluate the integral int sec2 x dxSquare root25-tan2 x Evaluate the integral x csc2 5 x d x. The first rule to know is that integrals and derivatives are opposites. Type in any function derivative to get the solution, steps and graph. Start with the integral f (g (x)). 1 2. Multiply and divide by (csc x cot x); use Substitution. I am interested in a proof for the integral of &92;operatornamecosec2x that does not require differentiating &92;cot x. Integration is the algebraic method of finding the integral for a function at any point on the graph. Rewrite using u u and d d u u. Find the Antiderivative csc(x)cot(x) Step 1. Let u 5x u 5 x. I cscxcsc2xdx (ii) cscx and csc2x are the first and second functions that form integration by parts. Add the original integral Math Processing Error to both sides. Let u2 csc(5x) u 2 csc (5 x). Let u 6x u 6 x. Save to Notebook Free indefinite integral calculator - solve indefinite integrals with all the steps. The derivative of cot x is -1 times the square of csc x. Integral csc2 2 theta cot 2 theta d theta u cot 2 theta; Evaluate the integral int sec2 x dxSquare root25-tan2 x Evaluate the integral x csc2 5 x d x. Properties of The Six Trigonometric Functions. One condition upon these results is that x must be measured in radians. Derivative of Cot x. Rewrite using u u and d d u u. It helps. Answer link. 3 The Fundamental Theorem of Calculus; 5. Split the single integral into multiple integrals. Integrals with Trigonometric Functions Z sinaxdx 1 a cosax (63) Z sin2 axdx x 2 sin2ax 4a (64) Z sinn axdx 1 a cosax 2F 1 1 2; 1 n 2; 3 2;cos2 ax (65) Z sin3 axdx 3cosax 4a cos3ax 12a (66) Z cosaxdx. Use the common integral csc x d x ln csc x cot x and rewrite the integral as. Some of the following trigonometry identities may be needed. It denoted by sec x dx. The value of csc x is positive when sin x is positive and it is negative when sin x is negative. To compute the integral, we need to use a technique called integration by substitution. This is actually a common integral. Take the inverse cosecant of both sides of the equation to extract x x from inside the cosecant. For integrals of this type, the identities. Integration is the inverse of differentiation. Evaluate the integral. 1 sin(2x) dx 1 sin (2 x) d x. The other four trigonometric functions (tan, cot, sec, csc) can be defined as quotients and reciprocals of sin and cos, except where zero occurs in the denominator. It helps. Type in any integral to get the solution, steps and graph. Integration using Integral reduction for csc. You can also get a better visual and understanding of the function and area under the curve using our graphing tool. The cosecant function is positive in the first and second quadrants. Integration by Parts Integral of csc3(x) dxcalculus integral integrals integration integrationbyparts Please visit httpstheissb. Here's a proof of this derivative Since d dx sin(x) cos(x), using the Power Rule and Chain Rule on d dx (sinx)1 yields. The function can be found by finding the indefinite integral of the derivative. Since the graph of the function csc c s c does not have a maximum or minimum value, there can be no value for the amplitude. It is assumed that you are familiar with the following rules of differentiation. Type in any integral to get the solution, steps and graph. csc x cot xdx csc x c csc x cot x d x csc x c. Save to Notebook Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. The integral of csc squared with respect to is equal to negative cot plus . Choose "Evaluate the Integral" from the topic selector and click to see the result in our Calculus Calculator Examples. (dfracddx(csc x)csc xcot x) This page titled 3. Advanced Math Solutions Integral Calculator, substitution. Now, substitute the above values in the. There are various methods to obtain the integral of cosec x, including the substitution method, the trigonometric method, and the partial fraction method. Cosec x is the reciprocal of sin x and cot x is equal to (sin x) (cos x). Integration is the inverse of differentiation. Draw graph Edit expression Direct link to this page. The Integral Calculator lets you calculate integrals and antiderivatives of functions online for free Our calculator allows you to check your solutions to calculus exercises. So we can rewrite the integral as follows cot2 xdx (csc2 x 1) dx cot 2 x d x (csc 2 x 1) d. Integral of csc (x)2 by x (csc x)2 dx 1tan x. Like the function sec(x), there is no obvious way to integrate csc(x). Learn how to calculate the integral of cosecant (x) using different integration techniques, such as substitution method, partial fraction, and integration by parts. The Integral Calculator lets you calculate integrals and antiderivatives of functions online for free Our calculator allows you to check your solutions to calculus exercises. Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. csc x cot xdx csc x c csc x cot x d x csc x c. Derivative of Cot x. 8K subscribers Subscribe 224 Share 22K views 4 years ago Calculus Integration Like the function sec (x), there is no obvious way to integrate csc (x). (2 x)) Mathxx. Take the inverse cosecant of both sides of the equation to extract x x from inside the cosecant. Type in any integral to get the solution, steps and graph. &92;&92;int &92;csc3x &92;, dx&92; . How do you find the indefinite integral of int (1 csc x) dx Calculus Introduction to Integration Definite and indefinite integrals. This is also known as the antiderivative of cosec x. cscx (Because Cosecant is the reciprocal of Sine) Hence Proved. Sign up for a free account at httpsbrilliant. 2 The Definite Integral; 5. Use cscx 1 sinx to rewrite the integral as. Practice your math skills and learn step by step with our math solver. That is either by multiplying the integrand by a cleverly chosen (1fraccot x. In this video we have used the integration of cosec3x. Step 3. 1 sinx sinx. The first rule to know is that integrals and derivatives are opposites. Free antiderivative calculator - solve integrals with all the steps. beX5gXL1nfDbg So myst watch it. Evaluate the Integral integral of (csc (x)-tan (x))2 with respect to x. You can integrate powers of cotangents and cosecants similar to the way you do tangents and secant. How can we find the integral of csc 3x csc3 x Check out the solution below int csc 3x , dx csc3 xdx. csc x d x log e csc x cot x c. csc(u) 1 6du csc (u) 1 6 d u. Step 2. &92;-&92;cscx&92;cotx-&92;int &92;cot2x&92;cscx &92;, dx&92; 3 Use Pythagorean Identities &92;(&92;cot2x&92;csc2x-1&92;). cos2x 1 2 1 2cos(2x) 1 cos(2x) 2. Free integral calculator - solve indefinite, definite and multiple integrals with all the steps. y intercepts (pi2 2 k pi , 1) , where k is an integer. Graph, domain, range, asymptotes (if any), symmetry, x and y intercepts. Combine csc(u) csc (u) and 1 6 1 6. 3x2 5x 2dx. Tap for more steps. Message received. Step 12. Here you will learn proof of integration of cosecx or cosec x and examples based on it. You will find it extremely handy here bc substitution is all. This is also known as the antiderivative of cosec x. Remember that the derivative of &92;cot(x) is minus &92;csc2(x), and that the derivative of &92;csc(x) is minus &92;csc(x)&92;cot(x). Integration of cosec xCosecxIntegrationIntegral Integrate. Answer link. We need to find an antiderivative of sin (x), a function whose derivative is sin (x). I csc3xdx (i) First we break csc3x into cscx and csc2x, and now the integral (i) becomes. comcGRAVITYcoachingInstituteQu(36)- cosec3x dx-----. In this video we have used the integration of cosec3x. integral csc3x dx integral cscx dx integral csc2x dx integral csc3x dx Trigonometric Integral integralcscxdx integralcsc2xdx integralcsc3xdx Integration. Yes, the 0 and 1 bounds are correct. Then we perform simple substitution, Let. , try supposing that there is a chain rule at the end of the differentiation were undoing) let u 2x, so du 2 dx. The other four trigonometric functions (tan, cot, sec, csc) can be defined as quotients and reciprocals of sin and cos, except where zero occurs in the denominator. In this question, our value of is two. Now the integration becomes. httpsintegralsforyou. 1 sinx sinx. The integral of with respect to is. Other Integral Formulae of the Cosecant Function. Subscribe httpsyoutube. First, rewrite the integral as Iintcsc2xcscxdx Since integration by parts takes the form intudvuv. . immigration checkpoints map 2022