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Evaluate : int(1)^(2) (dx)/(xsqrt(x^(2)-...

Evaluate : `int_(1)^(2) (dx)/(xsqrt(x^(2)-1)) `

Text Solution

Verified by Experts

`int_(1)^(2)(dx)/(xsqrt(x^(2)-1) ) =[sec^(-1) x]_(1)^(2)`
`sec^(-1) s-sec ^(-1) 1`
`=(pi)/(3)-0 =(pi)/(3).`
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