(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Evaluate.

[itex]\int(4-y)\sqrt{4-y^{2}}dy[/itex]

I have the solution using CAS software here:

[itex]2y\sqrt{4-y^{2}}+8sin^{-1}\frac{y}{2}+\frac{1}{3}(4-y^{2})^{3/2}[/itex]

but I need to do this by hand. I have researched the usual trig methods but am having some difficulty. Can someone please help me find the right identity?

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# Homework Help: Tricky Integration with Trig Substitution

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