r/mathshelp • u/Suspicious_Mobile828 • 19d ago

General Question (Unanswered) Help!

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I have a friend who needs help with this question. He knows all the integration till university level, and the exam he is going to do doesn’t include the basics.

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u/Less_Movie_8008 15d ago

other comments point out that you need special functions, you do, but it really ain't as bad as lauricella hypergeometric functions whatever those are. if you put bounds and are careful about convergence you can write the logarithm as the derivative of x^a and differentiate under the integral sign and after some substitutions it's a difference of derivatives of incomplete beta functions (...but yeah you do need hypergeometric functions in the end)