please help me to solve this math problem = http://img39.imageshack.us/img39/3882/clipimage002z.gif

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- Aug 22nd 2009, 03:10 AMwizard654zzz[SOLVED] Help me to solve this math problems
please help me to solve this math problem = http://img39.imageshack.us/img39/3882/clipimage002z.gif

- Aug 22nd 2009, 03:43 AMsongoku
Hi wizard654zzz

Let : $\displaystyle x=\sin \theta$ - Aug 22nd 2009, 04:14 AMHallsofIvy
Are you

**required**to use integration by parts? The obvious way to integrate this is to let $\displaystyle y= 1- x^2$ so that $\displaystyle dy= -2x dx$ or $\displaystyle -\frac{1}{2}dy= x dx$, $\displaystyle x^2= 1- y$ and the integral becomes $\displaystyle \int \frac{(x^2)(x dx)}{\sqrt{1- x^2}}= -\frac{1}{2}\int\frac{(1- y)dy}{\sqrt{y}}$$\displaystyle = -\frac{1}{2}\int\frac{(1- y)dy}{y^{\frac{1}{2}}}$$\displaystyle = -\frac{1}{2}\int \left(y^{-\frac{1}{2}}- y^{\frac{1}{2}}\right)dy$. - Aug 22nd 2009, 05:42 AMwizard654zzzThank you for help me
Mr.HallsofIvy Thank you for help me