1 2-r 1 3. Evaluate the integral: dydx. 1+x + y

Q: Evaluate the iterated integral. * Tt/2 [y/8 7/y sin y dz dx dy Jo Jo

A: Given,  ∫0π/2∫0y/8∫07/ysin y dz dx dy

Q: Evaluate the iterated integral. 24 (x + y + z) dx dz dy of

A: To find: ∫02∫04∫01x+y+zdxdzdy

Q: Compute the integral xe dxdy (Hint: Change the order) 2- 1 1 0 y е)3(1 - е) a)3(e- 1) b)(e - 1)

A: and we have to calculate the value of this integral.

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. 16–z2 | xy dy dx dz

A:

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

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Q: Show your complete solution: Evaluate the triple integral pl+y² xdtdydx 1-x S S T 2y

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Q: Evaluate the triple iterated integral. 2/2 L7 xyz dx dy dz 0 Jo J-1

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Q: Q.3 Find the double integral for L. x² dydx, where R between y = 1/x , y = x and x = 2 SR

A: From the given region, y varies from y = x  to y = 1/x and x varies from x = 1 to x = 2. The…

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: Evaluate the iterated integral. r4y *x + y [IT*** 6xy dz dx dy

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Q: Evaluate the iterated integral. It/2 y/6 sin y dz dx dy Jo Jo

A: Given  ∫0π/2∫06y∫03ysinydzdxdy

Q: Evaluate the iterated integral. 8. 1 (x + y + z) dx dz dy Jo

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Q: Calculate the following double integral a(x+y)dxdy-[ where 2 = {(x, y) :0sys 2x+2,0 <x<3} Submit the…

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Q: Evaluate the iterated integral. /2 y/6 r 1/y sin y dz dx dy Jo

A: ∫0π2∫0y6∫01ysiny dz dx dy Formula: ∫1dx=x+c ∫sinxdx=-cosx+c

Q: evaluate the iterated integral.

A: Evaluate: ∫-10∫-11 x+y+1 dx dy

Q: Evaluate the iterated integral | dydx. а. 2 b. 1 с. 0 d. 3 О а. O b. O d.

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Q: Evaluate the iterated integral. 8/6 1. (x +y + z) dx dz dy 0 Jo

A: In this question , we can solve given iterated integral. ∫xn dx = xn+1n+1+C

Q: +4)(v² +®y)Vy? +8y – 1 dy 3.

A:

Q: dy dr x+ y 33. a dz dy x² + y 34.

A: .

Q: Evaluate the integral: I = 2x S where the solid S is defined as: S = {(x, y, z) E R³ : x > 0; 0 < y…

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Q: Evaluate the double integral ∫∫R  y / (1 +xy)2 dA, where R= [0,1]×[0,1].

A: Given integral is  where  R= [0,1]×[0,1].

Q: Evaluate the iterated integral. *1/2 y/6 5/y sin y dz dx dy Jo

A:

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. 5-y y dx dy = 3y 7/2

A:

Q: Evaluate the iterated integral. (r – y) dydx 2x

A: The given integral is ∫04∫2x2x-ydydx.

Q: Evaluate the integral b. 0 (z sin x + z cos y)dzdydx

A:

Q: (c) Consider the following integral I =ff (x + xy - xy — x² − y²) dA, - - D where D is a rectangle…

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Q: Evaluate the iterated integral. 1 z y SS§ 9ze=v² dr dy dz

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Q: evaluate the triple iterated integral.

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Q: Q.3 Find the double integral for L. x? dydx, where R between y = 1/x ,y= x and x = 2

A: From the given problem:   I=∫∫Rx2dydx   And curves are: y=1x; y=x and x=2   So the bounded region is…

Q: 121 [[fx’y* (r’y – xyz – yz dxdyda - 01-1 3. Evaluate the integral t

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Q: Evaluate the iterated integral. 2 8 (x +y + z) dx dz dy Jo Jo Jo

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Q: B D cF I| f(x, y, z) dV = dz d

A: We have to evaluate the integral:

Q: Evaluate the double integral. |/ (2x + y) dA, D = {(x, y) | 1 sy< 2, y – 1 < x < 1}

A: Evaluate the double integral  ∫∫D2x+y dA     , D=x,y|1≤y≤2,y-1≤x≤1

Q: Evaluate the iterated integral. n/2 y/8 3/y sin y dz dx dy Jo

A:

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. 4-y y dx dy = 2y S/2

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Q: Evaluate the iterated integral. 4. (x + y + z) dx dz dy Suhmit Answer

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Q: Evaluate the iterated integral " (3x + y) 2 dyda

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. •V4-z² xy dy dx dz =

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Q: Evaluate the iterated integral. SS 5x= dy dz dz = 0 0 0

A: Integration is evaluated by integrating first y then x then z.

Q: Evaluate the iterated integral. 2. r1 7ze dy dx dz Jo Jo

A:

Q: Evaluate the iterates integrals r*dA D = {(r, y) : 1<r< e, 0< y S In(x)} %3D

A: We will use simple Integration rules to solve this question.

Q: Evaluate the iterated integral. (x + y + z) dx dz dy III nowor

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Q: Evaluate the iterated integral. T/4 '3 '3-r rz dz dr de

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Q: Evaluate the iterated integral. 3 (2z fIn(x) '3 xe-Y dy dx dz Jo

A: ∫13∫02z∫0ln(x)x e-y dy dx dz

Q: Q.3 Find the double integral for SI, x? dydx, where R between y = 1/x,y x and x = 2

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Q: Evaluate the iterated integral. 1 6 1 (x + y + z) dx dz dy 0 Jo Jo

A:

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

A: