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Evaluate the following integrals int(...

Evaluate the following integrals
`int(x^2)/(sqrt(1-x^(2)))e^(m sin^(-1)x)dx`

Text Solution

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The correct Answer is:
`{((1)/(2)sin^(-1)x-(1)/(4)sin(2sin^(-1)x)+C;m=0),((1)/(2)e^(msin^(-1)x)[(1)/(m)-(1)/(m^(2)+4)(mcos(2sin^(-1)x)+2sin(2sin^(-1)x)+C;m ne0)]):}`
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