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Evaluate : int (e^(m"sin"^(-1)x))/(sqrt(...

Evaluate : `int (e^(m"sin"^(-1)x))/(sqrt(1-x^(2)))ds`

Text Solution

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`"Let I" =inte^("m sin"^(-1)x)/(sqrt(1-x^(2)))dx`
`"Let m sin"^(-1) x=t`
`rArr " "(m)/(sqrt(1-x^(2)))=(dt)/(dx)`
`rArr " "(dx)/(sqrt(1-x^(2)))=(dt)/(m)`
`:. " "I=inte^(t).(dt)/(m).1/m.e^(t)+c`
`=1/m .e^(" msin"^(-1) x)+c`
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