Find the derivative of y= u^5/(1+u^3) from 8 to 8-7x

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Homework Statement
use the fundamental theorem of calculus to find the derivative of y= u^5/(1+u^3) from 8 to 8-7x
Relevant Equations
Fundamental Theorem of Calculus
Here is the problem
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Here is my work on it. I thought I did it correct, but again, was told it was wrong.
65888761139__84C90FF9-9408-48B0-82A4-76AC67717D59.JPG
 
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Your answer looks fine to me. My only quibbles are 1) you aren't finding the derivative of ##\frac{u^5}{1 + u^3}## -- the problem asks for the derivative of a specific definite integral of this function; 2) your work is very incomplete - you omitted du, and you don't show what operations you're doing.

If the brain-dead software is flagging your answer as incorrect, it's possible that what you entered isn't syntactically correct -- such as missing parentheses or maybe they were looking for the expanded forms of the numerator and denominator.

What exactly did you enter into the form?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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