Evaluate the iterated integral 1. II. V dy dz. a. 403 21 b. 397 21 Oc. 2(2 – 2³) O d. None of the choices. 14 е. (z – 2²)

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

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

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Q: 22. Evaluate the iterated integral. (b) f. [, 2x + »)'dy (a) x+y+ xy dydx

A: Now we will solve the given double integral  We know integration of Xn dx = X(n+1) / (n+1) + C ,…

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Q: Evaluate the Integral dz 1. S z²+4z ANSWER: 1. - In + C 4 |z+4

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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: 1- 22 19ze dx dz dy 5

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Q: I.Evaluate the ff. iterated integrals. • rel /2 ptan y sec y 1. x'cos' ydxdy

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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: Q.3 Find the double integral for Sle x² dydx, where R between y = -4/x y = -x and x = -4

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Q: dy dr x+ y 33. a dz dy x² + y 34.

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Q: Evaluate the iterated integral. 8. 1 6ze dy dx dz 0/

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Q: 1. Give iterated integrals for r (x² + yz)dV where E is in the first octant bounded by the planes: y…

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Q: Evaluate the iterated integral. e² (1/xz In(z) dy dz dx

A: topic - triple integration  answer is ln(64) =6ln(2)

Q: I.Evaluate the ff. iterated integrals. • 7d/2 ptan y sec y 1. .3 cos' ydxdy JJ

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

Q: 16. Let D-((, y, z):05zs2, 0≤ y ≤1, 05:5z+y). Find the triple integral: 72xy³ dv.

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

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Q: Evaluate the iterated integral. 7 2 z z [ [²] ² 1 -1 J-y Y (-72+3 ln (7)) x dx dz dy

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Q: Estimate the value of the integral 4- x²y2 dA, S = {(x,y)| x² + y? 0} |

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Q: Evaluate the improper iterated integral. 1/x5 y dy dx

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Q: 4 Evaluate the indefinite integral by using the substitution u = y² + 4y² + 2 to reduce the integral…

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Q: 3z+4 dr Use the appropriate substitution to evaluate the following integrals: e %3D O e3a+4 + C ©…

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Q: 14 10ху To compute / Js x²+y²+3 ) axa you do the u substitution: u = (Notice that this is a…

A: Solution is here

Q: 4. Compute the following integral by making a change in coordinates. ż 2 ´2 ż ? 4´y2 0 ż ? 4´x2´y2 ´…

A: Given triple integral as,

Q: 3 The integral ³³ g(x, y) dxdy is equivalent 3 to ₁ ³x g(x, y) dydx

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Q: Evaluate the iterated integral. 7 8 !! //(? + y² + z²) dx dy dz -6 0 0

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Q: The value of the improper integral / 36 z² e ² dz = 12e1 O - 36e 1 O 36e 1 O 12e 1

A: We need to evaluate the value of the following integral I = ∫1∞36x2e-x3dx

Q: Evaluate the iterated integral. rIn(x) xe-Y dy dx dz 4z 434 3

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Q: 3 7z Set up the iterated double integral S S g(x,y) dy dx as dxdy such that: (iki katlı integrali

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

A: By integration property

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. 1 2r y 8ry: dz dy dx

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Q: Evaluate the iterated integral 3 1/2 I4 =S S y4 dydæ 11/a3 Enter the exact (not approximate) answer…

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Q: 4. Compute cach of the following iterated integrals by reversing the order of integration. sin (r)…

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Q: Evaluate the integral x2 ds where C is the portion of x2+y2=4 from (0,2) to (-2,0).

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Q: 5/ change the cartesian integral in an equvalant polor integral then evalute 2x-x² the polor…

A: Given integral ∫12∫02x-x21x2+y22dydx. The objective is to evaluate the integral. First we change x…

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

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Q: evaluate the iterated integral.

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Q: 5. Evaluate the iterated integral ]]*² +y² +z? dxdydz. O, 0

A: ∫-11∫02∫01x2+y2+z2dxdydzFormula∫xndx=xn+1n+1+C

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

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Q: Evaluate the integral. inegral 1  to 2 [(4 y2 -7y -12 )/ y (y+2)(y-3) ]dy

A: Given:                  ∫124y2-7y-12y(y+2)(y-3)dy   To determine:                    We can solve…

Q: Evaluate the iterated integral. 6. 7 8 (x² + y² + z² ) dx dy dz -6 0 0 6 7 8 (x² + y² + z² )dx dy dz…

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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. 2 4 (x2 – 2y2) dx dy 1 Jo

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