Integrate x^2/sqrt(4-x^2): Solution Steps

[futb0l]

$$\int{ \frac{x^2}{\sqrt{4-x^2}} }$$

How would I do that?
I tried integrating by parts, letting u = x^2 and v' = 1/sqrt(4-x^2) and many other combinations, but I just can't seem to get the result.

 

[matt grime]

A trig substitution will work, surely.

 

[HallsofIvy]

Let $x= 2 sin(\theta)$