Integration of function/derivative

Asked Sep 12 '19 at 02:36

Active Sep 12 '19 at 02:52

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I've been trying to find a function from a functional equation by the Newton-Leibnitz theorem and I'm getting two integrands, one of the form $~\dfrac{f'(x)}{f(x)}~$ [which will yield $~\ln f(x)~$] and the other of the form $~\dfrac{f(x)}{f'(x)}~$ which I am unable to integrate.

Can somebody give me a hint on how to proceed?

edited Sep 12 '19 at 02:41

nmasanta

9,222

asked Sep 12 '19 at 02:36

Akash Yadav

For first substitute t by f(x) we get $\ln {|f(x)|}$ – Rishi Sep 12 '19 at 02:42
Yeah, I know the first one. Can't seem to get a hold on the second one. – Akash Yadav Sep 12 '19 at 02:49
See $\displaystyle\int\frac{f(x)}{f'(x)}dx$ – PinkyWay Mar 13 '21 at 11:46

Integration of function/derivative

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