(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

integrate arctan(1/x)

2. Relevant equations

3. The attempt at a solution

z=arctan(1/x)

dx=-dz(x^2-1)

now its the integral of z(x^2-1)dz

let u =X^2-1

du=2x

dv=-udu

v=-u^2/2

integral=(x^2-1)(-u^2/2) - int (-u^2)(2x)

this is where i got stuck but i think im doing the z substitution incorrectly. is it even necessary to sub z?

Thanks!

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# Integration by parts with my work

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