Is This Solution for a Calculus Problem Correct?

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ku1005
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Hey Guys, this is one of the Q's in my book which I have completed but would just like to check whether (a) it is correct and B whether I can leave it in this format for the answer?

cheers

I used the fundamental theorem part 1 and the chain rule due to upper limit of integration being x^3. I posted as attachements as my text wouldn't work in here.thanks heaps!

rhys
 

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I can't see your picture unfortunately.