need triple nte vated integral to find volume of solid (below) Don't have to Sulue in tequal use spherical coordinates.

Q: Evaluate the following triple integral over half unit ball below y-plane(B), //| Væ² + y? + 2² dV. B

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Q: Find value of a&b without using integration by part

A: Given     To evaluate   a and b

Q: 3 sin 3 ycos ydy

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Q: Evaluate the triple iterated integral. π/2 9 6²¹² 6² 6² ° e-p³p² dp de do

A: I have given the answer in the next step. Hope you understand that

Q: xyzdV where E is the solid: 0 < z < 8 ,0< y< z ,0<x < y.

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Q: SSS (x+ yz?) dx dy dz v. 06x< !, 0£ys2

A: Given that ∫∫v∫x+yz2dxdydz, where v:0≤x≤1, 0≤y≤2, -1≤z≤3 Here, we will evaluate the given integral

Q: 8. (x – y) dV, where E is enclosed by the surfaces z = x² – 1, z = 1 – x² , y = 0, and y = 2 E

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Q: Find the volume of the region = {(x, y, 2) : æ² + y² – 3 < z< V9 – a² – y²} E - -

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Q: /6х — 22

A: We will evaluate the given integral as shown below by using trigonometric substitution

Q: substitution

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Q: P XI 3 ① S

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Q: Salve féz XB-27 USina fraction using decomposition what I ñave so far: 5. partial A Bx+C %3D…

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Q: Let D be the solid in the first octant bounded by the planes y=0, z = 0, and y=x, and the cylinder…

A: Since function  is not given we can not find the value of the integration.Here the question is for…

Q: Demonstrate that for the function of the type va? + x2 you use the substitution X-atane and use it…

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Q: Integrate: Je2* cos 3x dx e²x

A: It is given that, ∫e2xcos3x dxWe have to evaluate it.

Q: Evaluate / (x* – 2y) dA where D = {(x, y) E R²| – 1 < x < 2 and – x² < y < x²}. -

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Q: evaluate the iterated integral

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Q: Evaluate the integral R (x + y) dA where R = {(x, y) |2 < x² + y² < 5, y < 0}.

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Q: xVx? + y dy dx

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

Q: T sin x – cos x dx

A: Given data: The given integral is I=∫0πsinx-cosxdx. The given integral can be written as,…

Q: 17. 6xy dV, where E lies under the plane z = 1 + x + y and above the region in the xy-plane bounded…

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