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

Q: Evaluate the integral. 6. Vy In(y) dy

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Q: Evaluate the integrals: B:S, S' S'(x² + y² + z²)dz dy dx

A: ∫01∫01∫01x2+y2+z2 dz dy dx

Q: Evaluate the Integral (1+ z²)e²sinz dz, where C:lz=, and Compare byany two methods results. the

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Q: Evaluate the iterated integral. 17 [₁₁/₁² (x² + y²) dx dy = i 17 LL" (2² + y²) dx dy

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Q: 1 de is not an improper integral x +1

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Q: 3. a. Use a computer algebra system to evaluate the following integrals. i. : / Inz dz i. / 2 ln z…

A: The solution are next step

Q: where d! x*ry*< a² 2.

A: Change in polor coordinate.

Q: Evaluate the improper iterated integral. x2 dy dx 1 + y2

A: Given: I=∫03∫0∞ x21+y2dydx As we know that; ∫11+x2dx=tan-1x+C And ∫a·fxdx=a·∫fxdx, where a is…

Q: evaluate the iterated integral.

A: Evaluate: ∫-10∫-11 x+y+1 dx dy

Q: Which of the following integrals will yield In u+ C? A. SE B. S- x+1 D. S dx xdx C. S 2rdx = x+1 O…

A: From the following integrals will yield ln u+C Note:     Multiple questions are given, we are answer…

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. LP'&x+yaxay (x + y²) dx dy

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Q: dy dr x+ y 33. a dz dy x² + y 34.

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Q: Evaluate the integral: rV1+ 25 /1+ 25z°dz + C

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

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

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Q: 1- Find the integral of: 2 cot - de T/2 A- B- / dr Vr

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

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

Q: The improper integral A 1 B 0 C St edx is

A: To solve the improper integration.

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

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Q: Evaluate the iterated integral. 's4 IT cos(s*) dt ds

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

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Q: Solve the double integral J, J, (1+ xy)² dydx In n(금) O 2ln(5) – In(3) O In(3) – 4ln(5)

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Q: Evaluate the improper iterated integral. • 1/x9 y dy dx Jo

A: In this question we have to evaluate the integral.

Q: Rewrite the iterated integrals in the order dzdydx 11-y? 1-y SS S f(x, y, z)dædzdy 00

A: The given integral is: ∫01∫01-y2∫01-y f(x, y, z) dx dz dy

Q: I dydx 1+ y? 1.

A: In the question we have to find integral.

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 integral ∫dz/1 + ez

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

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: 3 3y Evaluate the iterated integral ry de dy.

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Q: Evaluate the integral: 2+u du a) b) / e"V1+ ev dy

A: Evaluate: i ∫252+u3uduii ∫ey1+eydy

Q: Evaluate the integral

A: Solution Given ∫01x2(1-x2)52dx We need to evaluate the integral

Q: Evaluate the iterated integral. 9. 13 4ze dy dx dz 0/

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Q: (8) Evaluate the contour integral: 2021 e1/z² dz. Izl=2

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

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Q: Evaluate the iterated integral: I 2² In(y) dy dæ

A: evaluate the integral ∫-22∫12x2 lny dy dx

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

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

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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: 2+ y²) dz dy

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Q: Evaluate the triple iterated integral. 2 4 xyz' dx dy dz Jo Jo J -1

A: Here we have to solve the givne triple integral I=∫02∫01∫-14xyz3dxdydz

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 iterated integral. 6 r8 × Jo Jo (x + y) dy dx

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

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Q: Evaluate the integral of ax^2 e^bx dx assume a and b are constants.

A: Please see the explanation below