How to solve ∫ytan^-1(y) dy using integration by parts?

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anna062003

Evalutate ∫ytan^-1(y) dy

i don't know how to start, can somebody tell me how?

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Dick

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anna062003 said:

Evalutate ∫ytan^-1(y) dy

i don't know how to start, can somebody tell me how?

It's not a trig substitution problem, it's an integration by parts problem. Try u=arctan(y) and dv=ydy.