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im trying to integrate the following:

e^(2x)sqrt(e^x - 1)

if only it were e^x at the front - it'd be so much easier!!

anyway, letting u=e^x-1 and doing everything i eventually get the following (and this is where i get stuck):

[ u^(5/2)+2u^(3/2)+u^(1/2) ] [ 1/(u+1) ] du

this is correct because, according to the computer, it simplifies to u^(3/2) + u^(1/2), which then gives the right answer.

so my question, really, is: how do we simplify [ u^(5/2)+2u^(3/2)+u^(1/2) ] [ 1/(u+1) ] ??

or am i approaching this the wrong way (which i suspect because it's a multiple choice question)??

cheers

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# 'simple' integration question

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