Evaluate the iterated integral. (x² – y²) dy dx -1J-2

Q: Evaluate the iterated integral. LLL- 2 x³ y2 + z?dxdydz 0.

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Q: Evaluate the iterated integral.

A: Given, ∫12∫13lnxydydxy To evaluate above integration.

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

A: To find: ∫02∫04∫01x+y+zdxdzdy

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

A: When integrating with respect to one variable , take other variable as a constant.

Q: Evaluate the iterated integral. 3y 6xy dz dx dy

A: From the given problem:   I=∫01∫y3y∫0x+y6xydzdxdy ...(1)   To solve for:   ∫0x+y…

Q: Calculate the iterated integral. r5 CT/2 (y + y2 cos(x)) dx dy -5Jo 120

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

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: x+y+xy)dydx 2J-1

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Q: evaluate the iterated integral.

A: Evaluate: ∫-10∫-11 x+y+1 dx dy

Q: Evaluate the iterated integral. LP'&x+yaxay (x + y²) dx dy

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Q: Evaluate the iterated integral. ITT*³. /0 10 6ze-x6 dy dx dz

A: Integrate usually but first with respect to y then x then z.

Q: #1. Evaluate the iterated integrals (a) || (6x?y+4x - y) dx dy -2 (b) y2 x²y dxdy

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Q: evaluate the iterated integral.

A: Consider the integrals, ∫01∫01y1+xydxdy…

Q: evaluate the iterated integral.

A: ∫03∫-20x2y-2xy dy dx=∫03∫-20yx2-2x dy dx=∫03x2-2x dx∫-20y dy

Q: 2x f²f²² (x² + 2y³) dy dx. Write the iterated integral in the previous item using the order dx dy.

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Q: Evaluate the iterated integral. 4 (x² – 2y²) dx dy %3D

A: We need to evaluate the following integral ∫12∫04x2-2y2dx dy

Q: Evaluate the iterated integral. /2 x. 4 cos (x + y + z) dz dx dy

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Q: Evaluate the iterated integral. 2 6ze X dy dx dz

A: Evaluate the given iterated integral ∫12∫01∫0x56ze-x6dydxdz

Q: Evaluate the iterated integral. (b) (2x + v)*dxcy 0 Jo

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Q: Evaluate the iterated integral 1 ·1 dy dx (xy + 1)2

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Q: Evaluate the iterated integral. T/4 '5 y cos(x) dy dx

A: A detailed solution is given below

Q: Evaluate the iterated integral. 19-y2 y dx dy 3 /9-y² у dx dy — i

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Q: Evaluate the iterated integral.

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Q: Evaluate the iterated integral. * T/4 y cos(x) dy dx

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

A: The given integral is: I=∫02∫08∫01x+y+zdxdzdy   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Evaluate the iterated integral. 64 – y² 78 (x + y) dx dy 0/

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Q: Evaluate the iterated integral. 3y (x+y 18xy dz dx dy Jo

A: The given integral is ∫01∫y3y∫0x+y18xy dz dx dy. The main objective is to determine the value of the…

Q: -1 (1x+y dxdydz 2 а. -2 J0

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

A: Take integration

Q: Evaluate the iterated integral Vy exp dx dy 0.

A: ∫14∫0y exydx dy = ∫14yexy0y dy                                       = ∫14ye - 1 dy…

Q: Evaluate the iterated integral. ||| x*y² + z² dx dy dz 0.

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

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Q: Calculate the iterated integral. '3 1. 7xy x2 + y2 dy dx + y2.

A: Given integration, I=∫03∫017xyx2+y2dy dx Use formulas, ∫xndx=xn+1n+1∫cfxdx=c∫fxdx   c is…

Q: Calculate the iterated integral. 5xyV x? + y? dy dx

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Q: Evaluate the iterated integral. 2ye-X dy dx 12

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Q: evaluate the iterated integral.

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Q: Calculate the iterated integral. 1/2 (y + y2 cos(x)) dx dy -3Jo

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Q: Calculate the iterated integral. (x + y)² dx dy

A: In the question we have to find integral of the given function.

Q: Evaluate the iterated integral. 4y (x + y 18xy dz dx dy

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Q: T/2 T/2 (b) sin(x + y) dy dx

A: Consider the given integral, ∫0π2∫0π2sinx+ydydx first, integrate with respect to dy,…

Q: Evaluate the iterated integral. 4y 18xy dz dx dy

A: The integral is ∫01∫y4y∫0x+y18xydzdxdy.

Q: Calculate the iterated integral

A: The given double integral is  I=∫01∫04xy+ydx

Q: b) Evaluate the iterated integral In z x e' dy dz dx 3 cx2 1 x,

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Q: Evaluate the iterated integral. 5x (x + y²) dy dx J4x

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Q: Evaluate the iterated integral 3 In z x e' dy dz dx

A: Given,         ∫13∫xx2∫0lnzxedydzdx

Q: Evaluate the iterated integral. Py dx dy 8 I. x²y dx dy : i

A: Given:        ∫48∫02x2y dxdy     =∫48∫02x2y dxdy  integrate with respect to x     =∫48y∫02x2 dxdy…

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

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