valuate the integral. (Remember to use absolute values where appropriate. Use C for the cons x² – x + 4 dx x3 + 2x

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Q: +). L x-1 dx -1x2+1

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Q: needed. That way you'll have better chance x2 + + 2x +3 dx x3 +3x2 + 9x a. #13. 26+

A: Since you have asked multiple questions in single request,  So we will be answering only first…

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Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

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A: Given that ∫2x+1-5x-110x dx evaluate the integral

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Q: Q2. Using the complex variables techniques, evaluate the integral dx

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Q: 1. Find dx. x2 + 64

A: I = ∫1x2x2 + 64 dxLet x = 8 tanθ     dx = 8 sec2 θ dθx2 + 64 = 64 tan2θ + 64                 = 64…

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Q: Evaluate. Vx dx 6 76 X, dx =| 76 X (Use C as the arbitrary constant.)

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Q: 2. Find b such that dx 1+x2 3

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Q: Evaluate. [(5x³) dr = | antidifferentiation) +C (You do not need to enter a constant of

A: evaluate    ∫(5x3)dx   formula ∫(xn)dx=xn+1n+1+C