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

[tex]\int[/tex]x^3[tex]\sqrt{}a^2-x^2[/tex]dx

2. Relevant equations

3. The attempt at a solution

I came this far with my solution:

a^5[tex]\sqrt{}sin^3\Theta cos^2\Theta[/tex]d[tex]\Theta[/tex]

a^5[tex]\sqrt{}sin^3\Theta-sin^5\Theta[/tex]d[tex]\Theta[/tex]

The answer given to me is:

-1/15(a^2 - x^2)^3/2 (2a^2 + 3x^2) + C

It seems that they used sine theta, and not cos theta. I have currently tried to do that but am not sure how I would get rid of the extra sin[tex]\Theta[/tex].

Thanks for the help.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Integration problems: Intriguing Integrals

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