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 Feb25 asked Differentiation under the double integral sign Sep19 answered Transforming a sum in an integral Sep13 awarded Editor Sep13 revised Transforming a sum in an integral added 4 characters in body Sep13 revised Transforming a sum in an integral edited tags Sep13 answered Transforming a sum in an integral Sep12 comment Indefinite integral $\int^{\infty}_{0}\frac{x}{x^4+1}dx$ via residues Sep12 awarded Teacher Sep12 answered Why does this expression equal $\pi$? Sep12 comment How to justify term-by-term expansion to compute an integral Sorry but i don't know how to calculate this integral by series. I hope this will be useful for you ,despite the fact it doesn't use series Sep12 answered How to justify term-by-term expansion to compute an integral Sep11 asked Transforming a sum in an integral Sep11 comment Difficult integral I did the calculations with derive!It's all right! Sep11 comment Difficult integral I don't know how to handle this integral. I think he means that $v' = \frac{{\sqrt 2 }}{2}v - \frac{{\sqrt 2 }}{2}w$ and $w' = \frac{{\sqrt 2 }}{2}v + \frac{{\sqrt 2 }}{2}w$. The derivate is of v' now. If you do the calculations you get the correct answer. Sep11 comment Difficult integral Can you explain me the formula of quadratic form?If there are other threads about this thing please send me to these. Sep11 awarded Supporter Sep11 awarded Nice Question Sep11 comment Difficult integral i want to tell you that there is a mistake. THe quantity in the square root is $4wv-u^2$ Sep11 comment Difficult integral u,v and w are defined in the article, they are positive! Sep11 comment Difficult integral i think the only restrictions are that the quantity in the square root is positive and the denominator don't vanish!