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Evaluate: inte^sin^((-1)x)dxdot...

Evaluate: `inte^sin^((-1)x)dxdot`

Text Solution

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Let y ` = e^(sin ^(-1)x)`
`rArr (dy)/(dx)(d)/(dx) e^(sin ^(-1)x)`
` = e^(sin ^(-1)x) .(dy)/(dx)sin ^(-1)x`
` = e^(sin ^(-1)x) .(1)/(sqrt(1 - x^(2)))=(e^(sin ^(-1)x))/(sqrt(1 - x ^(2)))` .
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