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Hard integral 2

  • Thread starter dirk_mec1
  • Start date
  • #1
761
13

Homework Statement



[tex]
\int_0^1 \frac{x^4(1-x)^4}{1+x^2}\ dx
[/tex]

The Attempt at a Solution


A gonio substitution gets nasty really fast moreover the differentiation under the integral sign trick doesn't seem to give more insight (at least that's what I think). Integration by parts gets a ln(.) times something nasty. The boundaries suggest a series expansion or a smart substitution...

Can someone give me a hint?
 

Answers and Replies

  • #2
1,395
0
divide the two polinomials
and youll get an easier integral
 

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