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Find int x^(2)*("exp" ( m sin^(-1) x)/(...

Find ` int x^(2)*("exp" ( m sin^(-1) x)/(sqrt(1-x^(2))) dx " on " (-1,1) ` where m is a real number . ( Here for `Y in R `, exp. {y} stands for ` e^(y))` .

Text Solution

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The correct Answer is:
`=(e^(m sin^(-1)x))/(2)((1)/(m)-(1)/(m^(2)+4)( m cos ( 2 sin^(-1) x ) + 2 sin ( 2 sin^(-1) x))+C_(1)`
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