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super hard integration problem

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98future
 
Reply Mon 21 Oct, 2013 11:13 pm
solve: the integral of [ x^4 *(1-x)^4]dx/(1+x)

help help who can help solve it
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Type: Question • Score: 0 • Views: 857 • Replies: 1
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Kolyo
 
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Reply Tue 22 Oct, 2013 04:45 pm
@98future,
I see two approaches you might use:

(1) Simply expand the numerator to a polynomial of degree 8 and divide it by (1+x).

(2) Let u = x + 1. Note that dx = du, in that case.
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