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Question
Choose the correct options from the given alternatives :
`int tan(sin^-1 x)*dx` =
Options
`(1 - x^2)^(-1/2) + c`
`(1 - x^2)^(1/2) + c`
`tan^m x/sqrt(1 - x^2) + c`
`- sqrt(1 - x^2) + c`
Solution
`-sqrt(1 - x^2) + c`
`["Hint" : sin^-1x = tan^-1 (x/sqrt(1 - x^2))].`
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