Hi all The problem is: Show that the value of the integral int_{0,2} (375x^5)(x^2 +1)^(-4) dx is 2^n for some integer n. Thank you
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Originally Posted by storchfire1X Hi all The problem is: Show that the value of the integral int_{0,2} (375x^5)(x^2 +1)^(-4) dx is 2^n for some integer n. Thank you Let us ignore the 375 factor for now. Let thus, . And and , hence, Substitution theorem yields, Let then The substitution rule says that, Now show that multiplication by 375 will make this an exponent of 2. The rest is more computational.
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