Evaluate the iterated integral. IIT*+y+z) dx dz dy

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

A:

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. 6. Vy In(y) dy

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

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Q: rln z xe' dy dz dx 0.

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

A: The given integral is

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

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

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Q: Evaluate the iterated integral // VIte" dw dv.

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Q: Evaluate the iterated integral. 30 900- y dx dy 30 900-y y dx dy = i

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

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

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Q: Evaluate the integral by integrating with respect to​ x, y, and z.

A: Given integral is,

Q: evaluate the iterated integral.

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Q: Evaluate the iterated integral: S", Si yz dx dz dy.

A:

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

A: Given tripple integral is ,                                                     ∫09∫04∫01(x+y+z)dx…

Q: evaluate the iterated integral.

A: ∫12∫042xydydx

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

A:

Q: Evaluate the iterated integral. x2 3ze dy dx dz Jo

A: triple integration

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

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

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

A:

Q: (a) (x2 + y?) dx dy J2

A: To calculate the integral: ∫-11∫24x2+y2dx dy Solution: When we will integrate with respect to one…

Q: 1 (x²+y*) dx dly -1 2

A: Consider ∫-11∫24(x2+y2) dx dy = ∫-11x33+xy224 dy = ∫-11643+4y2-83-2y2dy = ∫-11563+2y2dy =…

Q: Evaluate the iterated integral. 10xyz dz dy dx 0 Jx

A: ∫02∫x2x∫0y10xyz dz dy dx= 10 ∫02∫x2xxy z220ydy dx= 5 ∫02∫x2xxy3dy dx= 5∫02x y44x2x= 54∫02x16x4 -…

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 triple integral. y dV, where E {(x, y, z) | 0 < x < 2, 0 < y < x, x – y < z < x + y}

A:

Q: I dydx 1+ y? 1.

A: In the question we have to find integral.

Q: Evaluate the iterated integrals a. (x-y)dydx b. cos y dxdy

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Q: Set up a double integral to find the z = x? + y? %3! %3D z = 0

A: We are asked  to set up double integral to find the volume.

Q: Evaluate the iterated integral. 2 *4z [In(x) f Jo xe Y dy dx dz

A:

Q: xVx? + y dy dx

A: Answer for the given iterated integral is   6215 -635

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 triple iterated integral. r2 xyz dx dy dz

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

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Q: 2+ y²) dz dy

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Q: Evaluate the triple iterated integral x dz| dy d

A: Solution of given question is followed by:

Q: Evaluate the iterated integral. 9ze9 dy dx dz

A: Given integral is , ∫12∫01∫0x89ze-x9dydxdz

Q: Evaluate the iterated integral. 3 4ze dy dx dz

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Q: Calculate the iterated integral

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

Q: Evaluate the triple iterated integral. ,3 xyz dx dy dz

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

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Q: Evaluate the iterated integral. In(x) xe Y dy dx dz 2z J3 Jo

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Q: Evaluate the triple iterated integral. xyz dx dy dz

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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