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Integrate the functions sin^(-1)x/sqrt(1...

Integrate the functions `sin^(-1)x/sqrt(1-x^2)`

Text Solution

Verified by Experts

Let `sin^(-1)x` =t
`1/sqrt(1-x^2)` dx = dt
`intsin^(-1)x/sqrt(1-x^2)` = `int tdt`
= `t^2/2` + c
= `(sin^(-1)x)^2/2` + c
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