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Evaluate the definite integrals int0 ...

Evaluate the definite integrals `int0 1(dx)/(sqrt(1-x^2))`

Text Solution

Verified by Experts

`int_(0)^(1)(1)/(sqrt(1+x^(2)))dx=[sin^(-1)x]_(0)^(1)`
`=sin^(-1) 1-sin^(-1)=0.(pi)/(2)`
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