Use integration by parts to evaluate the integral. | (In(3x))*dæ- 8, +C

Q: Evaluate the integral ∫xsinhxdx.

A: We integrate by parts

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: 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: Evaluate the integral ∫e2xcoshxdx.

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Q: 62. dz, C is |z| = 3 C c z² +4

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Q: Evaluate the integral ∫cosh2xdx.

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Q: Evaluate the integral ∫sin3xcos3xdx.

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Q: Evaluate the integral ∫sinhxcosxdx.

A: sinhx can be defined by using the exponential function: Assume the given integral be I. Rewrite the…

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…