# Thread: help with a parts integration

1. ## help with a parts integration

I need help with the following indefinite integral: int (x+2)/sqrt(4-x^2).

I have tried parts several times and have come up empty. Thanks!

2. Hello, bmnorvil!

$\int \frac{x+2}{\sqrt{4-x^2}}\,dx$
Make two integrals . . .

$\int\left[\frac{x}{\sqrt{4-x^2}} + \frac{2}{\sqrt{4-x^2}}\right]\,dx$

. . $=\;\underbrace{\int x(4-x^2)^{-\frac{1}{2}}\,dx}_{u \:=\: 4-x^2} \;+ \;2\underbrace{\int\frac{dx}{\sqrt{4-x^2}}}_{\text{arcsine}}$

3. Thanks Soroban!