Hi guys, could someone just suggest a variable substitution for me...just to get the ball rolling :(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\int_{-1}^{1} \sqrt{1-x^2} - x^2 (\sqrt{1-x^2}) - (1-x^2)^\frac{3}{2} dx

[/tex]

Whenever i've seen [itex] \sqrt{1-x^2} [/itex] (and its usually the reciprocal of), I've used trig substitutions to wind up with an inverse trigonometrical function as the output, and then evaluating the integral. Either way, would something like [itex] x = \sin{\theta} [/itex] be a good choice here (or maybe [itex] x = \csc{\theta}[/itex]), or can it just be done in a regular fashion? Any hints would be great, nothing revealing but a nudge in the right direction would be ace, if possible.

cheers guys

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# An effective substitution

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