need help with this integration problem

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Gokuson

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\(\displaystyle \mbox{Show }\, \displaystyle{\int\, \sqrt{1\, -\, x^2}\, dx\, =\, \frac{1}{2}\left(\sin^{-1}(x)\, +\, x \sqrt{1\, -\, x^2}\right)\, +\, C}\)

How do I integrate (1-x^2)^1/2 using the substitiution x=sin @
 
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Gokuson said:
\(\displaystyle \mbox{Show }\, \displaystyle{\int\, \sqrt{1\, -\, x^2}\, dx\, =\, \frac{1}{2}\left(\sin^{-1}(x)\, +\, x \sqrt{1\, -\, x^2}\right)\, +\, C}\)

How do I integrate (1-x^2)^1/2 using the substitiution x=sin @
Click to expand...
What did you get, when you used the substitution?

Please reply showing how far you got, and what steps you took to get there. Thank you! ;)
 
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