Evaluate the integral -4-2 8x Cos y dy dr y – 4 by reversing the order of integration.

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 integral. (Use C for the constant of integration.) t3 dt V1- t8

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Q: Evaluate the double integral. (2х + у) dA, D = {(x, y) | 1<ys 4, y – 3 <x< 3}

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Q: Find x" In x dx; n # -1, n real. (Use C for the constant of integration.)

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Q: Evaluate the integral. dy y+2y-3

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Q: Reverse the order of integration in S S(2xy + 1)dxdy and then evaluate.

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

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Q: y²dy (y²+16)3/2

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Q: Evaluate the integral. (Use C for the constant of integration.) dt 1- t10

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Q: Use symmetry to evaluate the double integral. 4xy 1+ x2 dA, R= {(x, Y) | -4 s x s 4,0 s y s 1}

A: When the upper and lower limits of definite integrals become same, the result is zero irrespective…

Q: Using an appropriate substitution, 8tan-1x the integral J dx equals: 1+x2

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Q: Find the integration to de 0. a+bcos² 0

A: Given ∫02πdθa+bcos2θ. The given integrand is even function  We need to evaluate the above integral.…

Q: Evaluate the double integral 2.x² – xy)dA, D = {1<r< 2, <o<n} - D

A: we have to find the integral

Q: Evaluate the iterated integral -6x-x² xy dy dx, (x² + y?)3/2

A: Given: Now let us calculate the given iterated integral by using polar coordinates,…

Q: Reverse the order of integration and evaluate the integral: (a) [/ 2y° sin zy dy da (c) / dy dx 포 y4…

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Q: Reverse the order of integration in the following integral. 7 14-2x !! f(x.y) dy dx y14-2 Reverse…

A: From the given integral; I=∫07∫014-2xfx,ydydx Now find the x-intercept and y-intercept.…

Q: c3 2x 7. Consider the double integral f(x, y) dy dx. Set up an equivalent double integral by…

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Q: In 4 r4 1 dy dx ex In y

A: We have to evaluate the integral                                      ∫0ln4∫ex41lnydydx The region…

Q: 1. Evaluate the given double integral by first changing its order of integration r1-y² ye(1-a)² dx…

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Q: Evaluate the integral 2 // cos(x?) dx dy y by reversing the order of integration. With order…

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Q: Evaluate the iterated integral. V1- x4 dy dx

A: The given integration,           ∫01∫0x31-x4 dy dx

Q: raluate the double integral : (x + 2y – 2) dy da

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Q: Change the order of integration in the integral T" f(x. y) dx dy.

A: The integral is given as, I=∫01∫y2yfx,ydxdy In this integral, horizontal elemental stripdxdy is…

Q: Find the integral. (Use C for the constant of integration.) (t + 3)cos t2 + 6t) dt

A: Consider t + 3 as u. Then,

Q: Q1/Evaluate the integral: -За (2Vах dy dx x2 0, 4a by changing the order of integration.

A: We have to solve given problem:

Q: Reverse the order of integration in the following integral. cos (x.у) dx dy

A: The given double integration is: ∫05∫0cos-1y5f(x,y)dxdy The limit of x in the given integral is…

Q: Reverse the order of integration in the following integral. 2 8- 4x f(x,y) dy dx 0 0 Reverse the…

A: Given that, ∫02∫08-4x f(x,y) dy dx In the original integral, the integration order is dy dx. This…

Q: B)Evaluate the integrals: i) S ii) f/2/2 x 2² siny dz dy dx. rdrde,

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Q: Evaluate the double integral. бу dA, 2x5 + 1 D = {(x, y) | 0 <x< 1, 0 < y s x²}

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Q: A/2 x+! I Į sin x dy dx -1 0 96.

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Q: (i) Change the order of integration in the integral Vi-x dx dy (1+ev)NI-x²-y and hence evaluate.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Calculate the double integral. 8x dA, R = [0, 8] × [0, 1] 1 + xy

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Q: Evaluate the double integral (r2 + y}dA by using the easier order of integration. y= -4 + x? YA 2-…

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Q: x? Use the residues to evaluate the improper integral: -dx . (x² + 1)(x² + 4)

A: According to the given information, it is required to evaluate the improper integral using residue…

Q: 6. Change the order of integration and evaluate the integral (**2y+1 dxdy. r+1

A: ∫01∫0y+4 (2y +1)dxdy/(x +1) now change the order of integration ∫0y+4∫01(2y +1)dydx/(x +1) ∫0y+4[(y2…

Q: 1. Compute the given integral. Using Substitution Method 5x-12 dx = +C 5x2-24x-1 *

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Q: S f(x.y)dxdy- Reverse the order of integration in 0,

A: The given integral is: To find the reverse order of integration.

Q: Evaluate the integral 1. ( (y - 1)(2y + 1) dy

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Q: Evaluate the iterated double integral: x+4 sin (y³ – 3y?) dy d.x - x+4

A: Let's find.

Q: Evaluate the integral. (Use C for the constant of integration.) t2 dt 1 - t6

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Q: Reverse the order of integration in the following integral. 81 vy f(x.y) dx dy 0 y/9

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Q: Reverse the order of integration in S(2xy + 1)dxdy and then evaluate.

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Q: Evaluate the integral. (Use C for the constant of integration.) t5 In(t) dt

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Q: Sketch the domain of integration of the double integral (√(1-x²) La d.x dy x+y √(x² + y²) 0 0 and…

A: We will find boundary curve for domain of integration  . To find value of integral we will use polar…

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) YV 6 +…

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Q: Evaluate the double integral. dA, D = {(x, y) |0Sx< 5,0 < ys Vx} x2 + 1

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Q: Evaluate the double integral J[₂x² x³ dA, where D = {(x, y) : 1 ≤ x ≤ e, 0 ≤ y ≤ ln x}.

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

A: Given the double integrationI=∫−11∫−44(x2−y2)dydx

Q: Evaluate the iterated integral. 16 - y2 4 (x + y) dx dy

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