Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the exact answer. V3x + C

Q: Find or evaluate the integral by completing the square.

A: Consider the polynomial: ax2+bx+c. We try to obtain an expression of the form, kx+d2+e from the…

Q: Verify if div(curl F) = o for = (x - y) i+ (x +y)j+zk.

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Q: 4x V1- x³ dx

A: We will evaluate the given integral.

Q: Evaluate the integral. -2x 11 x² d.x + C NOTE: Enter the exact answer.

A:

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: Evaluate the integral. dx Vx2 - 10x + 16

A: Given ∫dxx2-10x+16 ∫dxx2-10x+16=∫dxx2-10x+25-25+16=∫dxx2-10x+25-9=∫dx(x-5)2-9=∫dx(x-5)2-32

Q: Find or evaluate the integral by completing the square.

A: Our Aim is to evaluate the integral given below :-∫1-x2-4xdx -(i)

Q: Find the integral. Show work. fx¹nx dx 25 (51nx-1) + C 1 25 (lnx-1)+C Ox++0 x(51nx-1)+C

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Q: 4. f In (2x + 1) dx =

A:

Q: Evaluate the integral. A + 3v5 v3 ap

A:

Q: Evaluate the integral. Answer= +C -22e-30 e2x + 6e +5 12276 -da

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

A: To solve the indefinite integral.

Q: 2 sin V 4 - x 4 – X - 2

A: