The integral from 0 to a of (x^2)(((a^2)-(x^2))^.5) dx

It must be done using trig substitution. I have it down to

(((a^4)(2sqrt(2))-(a^4))/3 + ((a^4)-((a^4)(4sqrt(2))))/5

Is there any way to simply further?

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- Sep 29th 2009, 09:58 AMHellacious DTrig Substitution again
The integral from 0 to a of (x^2)(((a^2)-(x^2))^.5) dx

It must be done using trig substitution. I have it down to

(((a^4)(2sqrt(2))-(a^4))/3 + ((a^4)-((a^4)(4sqrt(2))))/5

Is there any way to simply further? - Sep 29th 2009, 11:01 AMAmer