SSYDA Dis bounded by y = x-12 2 x = y ²

Q: 5z dv, where E is bounded by the cylinder y2 + z2 = 9 and the planes x = 0, y = 3x, and z = 0 in the…

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Q: 4x V1- x³ dx

A: We will evaluate the given integral.

Q: 2x2 dv, where T is the solid tetrahedron with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0,…

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Q: 3. (In x) –dx dx k) xVln x evi xp-

A: We know that integration of xn   =  xn+1/n+1. And we know that derivatives of d(lnx)/dx =   1/x.…

Q: 2x 35. x2 + 6x + 13 -бх + 13

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Q: Evaluate the following integral: JIS [xlnytan z dV if S = {(x, y, z) € R³ : − 1 ≤ x ≤ 0, e ≤ y ≤ 2e,…

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Q: 8 S Vx(2 x)²dx x (2-x)¯dx X 1

A: Here we have to evaluate the given integral.

Q: 2.) "/2 cos п-у Sol Soy Sun sin (y + 2) dz dx dy TT Y

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Q: -x Jez е sin x dx

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Q: q. r. √y² - 25 -dy, y > 5 y³ dx x²√√x²-1 2 ,x > 1

A: Solve both integral as following:-

Q: 4. cscó 3x dx 5. ſ cots x dx

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Q: 3 2 dx 2 x² – 1

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Q: Write the integral in terms of u and du. Then evaluate.

A: To solve the indefinite integral.

Q: 2x dV, where E is bounded by the paraboloid x = 2y2 + 2z2 and the plane x = 2. %3D

A: The given integral is ∭E2xdV. The region E is bounded by the paraboloid x=2y2+2z2 and the plane x=2.…

Q: 3xy dV, where E is bounded by the parabolic cylinders y = x² and x = y and the planes z = 0 and z =…

A: It is given that, y=x2 and x=y2 and the planes z=0 and z=7x+y. Define the region E as follows.…

Q: (x - y) dv, where E is enclosed by the surfaces z = x² - 1, z = 1 - x², y = 0, and y = 4

A: Consider the given function fx,y,z=x-y.  The region E is enclosed by the surfaces…

Q: (1) / : dr. x² + 4

A: For the first sub part we use the standard formulas for integration.

Q: 12y dy 4+9y° sec (t)+3 tan (t)+sin |dt 7

A: c) Given integral is ∫12y24+9y6dy. The above integral can be written as ∫12y24+9y6dy=12∫y24+9y6dy.…