Consider the indefinite integral le*+3 dx: a) This can be transformed into a basic integral by letting u = and du

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Q: 2a 1.² 1.²² 0 2ax-r² dydx

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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: f(t) = {, - 2 2 -2

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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: y(t) +4 et"y(t – v)dv = 3. Let Y(s) denote the Laplace transform of y. (a) Apply the Laplace…

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Q: (1 if 0 1

A: The given function is,f(x)=1 if 0<x<10, if x>1

Q: Evaluate tan S 0 X 4 - X tan 9 dx by writing the integrand as an integral.

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Q: S(1) = >1

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Q: Write down a standard integral formula for the indefinite integral of tan x.

A: I hope you are asking for the derivation of standard integral for tan(x).

Q: – dx x Inx x²+1

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Q: Evaluate the indefinite integral: dx = +C. %3D

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Q: 6x + 8 + 8x)2

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Q: |10dx 1

A: The integral function is ∫11110dx.

Q: . Evaluate the following integrals. 131 12-22--y // |v(x + 2)dzdydzr dzdydz -12 0

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Q: Determine the indefinite integral. Check your work by differentiation. 4t+ dt Select one: A. 4 + C…

A: The correct option is option (A) The detailed solution is as follows below:

Q: if 01

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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: (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…