Question

arctan(x)/sqrt(x) dx

Answer 1

\[\int\limits_{}^{}x^\frac{-1}{2} \arctan(x) dx\]
let u=sqrt(x)
so u^2=x
so 2udu=2x
so we have
\[\int\limits_{}^{}u^{-1} \arctan(u^2) 2u du \]
u^(-1)*u=1
So anyways now I would do integration by parts.

Answer 2

But that still may not be the easiest way...

Answer 3

i wonder if this was meant to be definite integral instead...