Evaluate the integral 50 fa* (z* – 6)" de by making the substitution u = x* – 6. %3D

Q: Calculate the iterated integral. 36 LTC + ar X dx

A: Solve the following

Q: Evaluate the integral. 6. 9 In(y). dy Vy J4

A: Given,             ∫49lnyydy

Q: Evaluate the integral. 6. Vy In(y) dy

A:

Q: Evaluate the integral by making an appropriate change of variables. 5 cos 9 dA where R is the…

A:

Q: coth v csch v dv 0.1

A:

Q: Evaluate the double integral of cos(x) with x from 0 to π/4 and y from 4y to π

A:

Q: Consider the integral -8e-y/2 dy If the integral is divergent, type an upper-case "D". Otherwise,…

A:

Q: Use the Residue to Evaluate the following Improper integral: dx x² + 2x + 2

A:

Q: S 343.4 * (0) (9x) dy

A:

Q: Calculate the iterated integral a) [ [ (6xy² – 2x) dy dæ

A: In this question we have to find Double Integration. First find in terms of y and then in terms of…

Q: Use the Residue to Evaluate the following Improper integral: dx x² – 2x + 2

A:

Q: Evaluate the integral *(* – 10)"dz 6 by making the substitution u = 1 z° – 10- +C

A: ∫un du = un+1n+1+C ; where 'C' is an integration constant.

Q: Evaluate the integral by making an appropriate change of variables. I cos( 3 () a where R is the…

A:

Q: Evaluate the derinite Integral. #5 In(x) dx

A:

Q: Evaluate the double integral. 8ху? dA, D is enclosed by x = 0 and x = 4 – y2

A:

Q: Evaluate the integral 20 | by making the appropriate substitution: u = 5 – 2 (2³ – 2)® dx %3D -

A: Evaluate the integrals

Q: Evaluate the improper integral (A) diverges (в B (C) ml+ 2 3 √√2²233/3dx 4

A:

Q: Calculate the iterated integral 2 So Só Væ + ydædy

A:

Q: Evaluate the iterated integral x² (x+ 2y) dyda Give your answer correct to 2 decimal places.

A:

Q: Evaluate the integral by making an appropriate change of variables. 5 cos 9 dA where R is the…

A: where are is the trapezoidal region with vertices(8,0),(10,0),(0,10), and (0,8).

Q: Evaluate the integral. r 81 In(y) dy Vy 64

A:

Q: dx%3D 9+x²

A: Solution is given below:

Q: Use this result to either evaluate the improper integral +oo 5xe dr or show that it diverges.

A:

Q: Evaluate the integral 35 dz 4 by making the substitution u = x* – 6. +C

A: integration

Q: Evaluate the improper iterated integral. 1/x5 y dy dx

A:

Q: Evaluate the improper integral A diverges B) 0 с 3 Alu 112²232/3 dx 4

A:

Q: Evaluate the improper iterated integral. • 1/x9 y dy dx Jo

A: In this question we have to evaluate the integral.

Q: (유) 6. dy dr Evaluate the double integral:

A:

Q: Evaluate the double integral. Sxy² da, D is enclosed by x = 0 and x =

A:

Q: +00 dx Evaluate the improper integral x(In x)²

A:

Q: Compute the following double integral over the indicated rectangle Yer -4x d A, R= [0,2] × [0, V8]

A: We are using Double integration here

Q: t * et  Compute the convolution integral.

A:

Q: | 7x2 V2x3 - 1 dx

A: Here the given integration I=∫7x22x3-1dxNow Substitute as2x3-1 =u⇒6x2dx=duThus the integration…

Q: Evaluate the integral by making an appropriate change of variables. 9 cos( 3 (Y-X)) dA where R is…

A:

Q: Evaluate the iterated integral by choosing the order of integration. 4 In(y) + dy dx /1 2y + 1

A:

Q: Consider the integral 7x – 21 da 2x – 3 If the integral is divergent, type an upper-case "D".…

A: the given integral is ∫027x-212x-3dx

Q: Jy cosy smy dy 3

A:

Q: Evaluate the integral. Clearly indicate u-substitution steps if required. 19 J2+ 5y

A: Given integral is ∫195+2ydy evaluating the integral with u substitution

Q: Evaluate the integral x2 ds where C is the portion of x2+y2=4 from (0,2) to (-2,0).

A: ANSWER:

Q: Compute the integral by algebraic substitution

A: we put 1-3x=u so that dx=-1/3du.and solve the question. see 2nd step.

Q: 8. Evaluate the integral by using a substitution prior to integration by parts. xp- Vx² + 18 - 9 m…

A: Given query is to find the value of the integral.

Q: Evaluate the integral: (In z)6 dz %3D

A:

Q: /2 etan y sec y х cos" ydxdy

A:

Q: Express the integral L Ey.2) dadrdy as an iterated integral in the other five different ways.

A:

Q: Evaluate the integral In 23 In y s s ex+y dx dy.

A: Given: ∫1ln23∫0lnyex+ydxdy

Q: Evaluate the integral fos√²²-1 f√²-1. 2x by first rewriting in the order dxdy. Enter the numerical…

A:

Q: Consider the integral 2x [2 dz. 4 Use the composite Simpson's rule with n=3 to approximate the…

A:

Q: Evaluate the integral.

A: Evaluate the integral.              ∫04-x2x2ydy

Q: dx, Evaluate the improper integral : [° 6x³e-3x°

A: