- #1

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[tex]\int{\sqrt{1-4x^{2}}}dx[/tex]

So I started like this:

[tex]x=sin(\theta)[/tex]

[tex]dx=cos(\theta)d\theta[/tex]

[tex]\int{\sqrt{1-4sin^{2}(\theta)}cos(\theta)d\theta}[/tex]

Normally you can remove the constant from the root and go about the rest of the integral, but I'm stumped on this. How can I break this down into something more manageable? I've tried several identities but nothing has worked yet.

A pointer in the right direction would be great. Thanks in advance!