Evaluate the integral. (Use C for the constant of integration.) x2 xp V 81 - x2

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A: We first try to complete the square. -x2-12x=-(x2+12x)=-(x2+12x+36-36)=-(x2+12x+36)-(-36)=-(x+6)2+36…

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A: Explanation of the answer is as follows

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A: Explanation of the answer is as follows

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A: We need to evaluate the following integral ∫ABx2+1x3+3x+5dx, A = 5 and B = 7

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) xp…

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A: Given:

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A: Given: I=∫2dxx2+4 we know that ∫dxx2+a2=logx+x2+a2+c                                      ..1

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A: See attached file for a step by step explanation to find the required Integral.

Q: 6. f(x)= 1+x? at x = (2, 3|

A: You post three questions these are non link questions, as per our guideline we can solve only first…