Suppose we perform the substitution u=1+Vx in the integral dx . (1+Vx)5 What is the resulting integral?

Q: Evaluate the iterated integral. 4z (In(x) xe- dy dx dz J3

A: Formulae used∫e-ydy = -e-y + C∫x2dx    = x33 + C ---------------------------------------- I…

Q: Evaluate the double integral. LL. 3 (x² – xy2) dy dx -3

A: first, we integrate with respect to y

Q: Evaluate the iterated integral. 4 (x² - y²) dy dx -4

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Q: S,(4y³ +-) dy y3.

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Q: Evaluate the integrals

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Q: Evaluate the improper iterated integral. x2 dy dx 1 + y?

A: The solution is given in the next step.

Q: Write the integral S Li dz dy dx in the form dx dy dz. Do NOT evaluate the (2) integral.

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Q: (x + y) dx dy Jo Jy/2

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Q: 1 To evaluate the integral dx, we (x2 + 2x)3/2 sec 0 1 substitute

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Q: where d! x*ry*< a² 2.

A: Change in polor coordinate.

Q: 1 Suppose we perform the substitution u=3+Vx in the integral dx . I (3+ Vx)4 What is the resulting…

A: we have to find the given integral

Q: Evaluate the improper iterated integral. x2 dy dx 1 + y2

A: Given: I=∫03∫0∞ x21+y2dydx As we know that; ∫11+x2dx=tan-1x+C And ∫a·fxdx=a·∫fxdx, where a is…

Q: Evaluate the iterated integral. 1. 7zeX dy dx dz - 0/

A: According to limit, first we integrate with respect to y then put x7 = t then solve it.

Q: Evaluate the integral dx (6х + 5)? y making the appropriate substitution: u = dx (6x + 5)2 II

A: Given query is to find the integral.

Q: 2. Identify which of the following integrals are improper: 1 1 dx 1 fin(x)dx 1 X +3 1 fe* dr -dp- 3

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Q: Evaluate the iterated integral. 74 (x² - 2y²) dx dy

A: Given that a double integral we solve this integration by using general property of integration.…

Q: Evaluate the iterated integral. 21 4 (x2 – 2y2) dx dy

A: We need to evaluate the following iterated integral ∫12∫04x2-2y2dxdy

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

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Q: Evaluate the integrals

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Q: Evaluate the iterated integral. 5 (ху) dy dx

A: Topic = Integration

Q: Consider the following two improper integrals: (1) 1 dx г — 5 -1.7 dx (2) (x –

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Q: Compute the integral 1 dx. L (* – i)(x² + 1)

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Q: 10 Why is J 5 Vx-5 11 =dx an improper integral?

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Q: aluate the Cauchy principal value of the given improper integral. dx (x² + 1)²(x² + 9)

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Q: Consider the integral 16–z² x? dz dy dx x²+y²

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Q: Evaluate the Integral dx 4. S V1-e-2x

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Q: Evaluate the integral ez+1 dz a) 0 eZ+z

A: Given Data: Integrand: ∫01ez+1ez+zdz Let u=ez+z, The derivative of u with respect to z is,…

Q: Estimate the errors in the approximations for T8 and M8 for the integral from 0 to 1 cos(x2)dx , n=8

A: Given: ∫abcosx2dx To find: Errors in the approximations for T8 and M8.

Q: Q/Evalute the integrals Vin3 dx dy 973 3. サーメ 2) dz dy dx 1 1-x 1 3.

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Q: 39. Use a software application to compute the integrals у — х dx dy (x + y)³ у — х dy dx Jo (x + y)³…

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Q: ∙1 Ꮭ ᏝᎽ 1-x-y z dz dy dx

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Q: Evaluate the integrals a) 1 i (y _X dy dx

A: *As per bartleby guidelines we are allowed to answer only 1 question at a time.Please re-post other…

Q: Calculate the integral approximation S6 for 0 -1 4-² dx.

A: In this question we have to find the Integration.

Q: Evaluate the integral, 00 xn+1e-a²x* Jn(bx)dx, a > 0, b> 0,

A: Bessel's function of first kind of order n, denoted by Jnx is defined as Jnx=∑r=0∞-1n22rr! γn+r+1x2r…

Q: Evaluate the improper integral A 0 (B 4 C diverges 2 D 9 mit 2 3 -2 X 3 dx

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Q: dx 1 = J Jaz-x2

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Q: Evaluate the iterates integral: S, (x- y) dy dx

A: By integration property

Q: 27 e integral dx be transformed into one of

A: By using a trigonometric substitution x=3secθ where, 0≤θ≤π2. The integral ∫27x3x2-9dx can be…

Q: Which one of the following double integrals is equivalent to the integral 2x-x2 Vx2 + y2 dy dx? 0.…

A: The integral in Cartesian coordinates is : We first try to look at the region of integration here:…

Q: Evaluate the Cauchy principal value of the given improper integral. 1 [ (x² + 4)² dx

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Q: Solve the problem. Rewrite the integral 5(1 - z/6) 2(1- y/5 - z/6) dx dy dz in the order dz dy dx.

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Q: Evaluate the integrals 1 (x² + y² + z²) dz dy dx 0, 0,

A: The value of the integral is, 1. The detailed solution is as follows below:

Q: Evaluate the integrals: (d) ∫(lnx)2dx. (e) ∫tan−1(3x)dx. (f)∫cos4(3x)dx.

A: We can evaluate the first two integrals by using  the integration by parts method. To evaluate…

Q: Evaluate the integral. In 2 ey dx dy

A: Explanation of the answer is as follows

Q: The improper integral A B if the 0 1 0 e dx is

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Q: 9. Evaluate the integrals. dx dx b. Siya Jã(1+x) 1/3

A: The integral function is ∫131dxx1+x

Q: Evaluate the improper iterated integral. 9. x2 dy dx 1 + y?

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Q: Evaluate the double integrals: [(x + y+1)dxdy

A: Here we will evaluate given double integral,

Q: Evaluate the integral. 10 r FIL √16 22 1 (x² + y²) 1/2 dy dx dz =

A: To evaluate the integral ∫04∫-44∫-16-x216-x21(x2+y2)12dydxdz