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प्रश्न
Integrate the functions:
`(sin^(-1) x)/(sqrt(1-x^2))`
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उत्तर
Let `I = int (sin^-1 x)/sqrt(1 - x^2)` dx
Put sin-1 x = t
`1/sqrt(1 - x^2)` dx = dt
Hence, `I = int t dt`
`=1/2t^2 + C`
`=1/2 (sin^-1 x)^2 + C`
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