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Sympy doesn't calculate an elementar integral #119

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sprmnt21 opened this issue Aug 31, 2019 · 1 comment

sprmnt21 commented Aug 31, 2019 •

edited by oscarbenjamin

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The following integral

(log(x)^2+2x*log(x)+x^2+(x+1)*sqrt(x+log(x))) / (x*log(x)^2+2*x^2log(x)+x^3)

have an elementar antiderivative

see. ex 9 from
SYMBOLIC INTEGRATION
TUTORIAL
Manuel Bronstein

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sprmnt21 commented Aug 31, 2019

after simple algebra you can have that integrand is equal to

1/x +(x + 1)/(x*(x + log(x))**(3/2))

and using for the second part the rtasformation (x+log(x))=t we have an easy solution

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