∫0−1x2(4x3+5)3 dx Determine the value of the definite integral given above. Enter your answer as an exact fraction if necessary. Provide your answer below:

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A: I am attaching image so that you understand each and every step.

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A: We can solve this as follows:

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A: Recall: ∫1x2+a2dx =1atan-1xa+C ∫ax+bndx =1a.ax+bn+1n+1+C

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

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A: Here we will solve the given integral,

Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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