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## Homework Statement

integrate arctan(1/x)

## Homework Equations

## 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 I am doing the z substitution incorrectly. is it even necessary to sub z?

Thanks!