I am stuck for weeks... integral from 0 to infinity 1/(1+x^(2n)) dx someone told me tips... but I still can't solve tips:x^n=tan Could anyone teach me how to solve it step by step?
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Originally Posted by mymaydayya I am stuck for weeks... integral from 0 to infinity 1/(1+x^(2n)) dx someone told me tips... but I still can't solve tips:x^n=tan Could anyone teach me how to solve it step by step? let then therefore: the last identity is true by Euler's reflection formula.
Originally Posted by NonCommAlg let then therefore: the last identity is true by Euler's reflection formula. sorry I don't know "B(1/2n,1-1/2n)" and the next one stand for could you give me link to wiki about it?
Originally Posted by mymaydayya sorry I don't know "B(1/2n,1-1/2n)" and the next one stand for could you give me link to wiki about it? they are called "gamma" and "beta" functions. google them!
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