MHB Is Substitution Effective for Integrating \(\frac{x^2}{(4-x^2)^{3/2}} \, dx\)?

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Evaluate the Integral.

Please help! I am so lost on this one!

$$\frac{x^2}{(4 - x^2)^\frac{3}{2}} \, dx$$
 
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shamieh said:
Evaluate the Integral.

Please help! I am so lost on this one!

$$\frac{x^2}{(4 - x^2)^\frac{3}{2}} \, dx$$

The substitution \displaystyle \begin{align*} x = 2\sin{(\theta)} \implies dx = 2\cos{(\theta)}\,d\theta \end{align*} will probably work...
 
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