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Integrate the following functions: sin^-...

Integrate the following functions: `sin^-1x/(sqrt(1-x^2)`

Text Solution

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Let t= `sin^-1x`. Then
`dt = 1/sqrt(1-x^2)dx`
therefore` int (sin^-1x)/sqrt(1-x^2) dx = int t dt = t^2/2+c`
`(sin^-1x)^2/2 +c`
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