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February 26th, 2012, 09:37 AM   #1
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integration problem from mit who solve

Hi guys , this integration problem was in mit integration sheet , so can anyone find the answer?


?. (2x^3 + 5x + 1)e^(2x) dx
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February 26th, 2012, 09:50 AM   #2
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Re: integration problem from mit who solve



For the first two integrals use integration by parts. For the third one you can use the substitution .
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February 27th, 2012, 01:09 PM   #3
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Re: integration problem from mit who solve

Here is a method for integrals of the form , where p(x) is a polynomial of degree n.

using





then



Use product rule:



Expand and equate coefficients:













Integrate both sides:

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