1. ## Find the anti-derivative

$\int \frac{2}{3}(1-x^2)^{3/2}\; dx$

Hmm... I don't think you can simply use the u-substitution technique here, as there is no $kx, k \in \mathbb{R}$ term on the outside.

Any idea?

2. Originally Posted by scorpion007
$\int \frac{2}{3}(1-x^2)^{3/2}\; dx$

Hmm... I don't think you can simply use the u-substitution technique here, as their is no $kx, k \in \mathbb{R}$ term on the outside.

Any idea?
Let $x = \sin \theta$. Then use some double angle formulas.