1.

Integrate the following int((sec^(-1)x)^2dx)/(xsqrt(x^2-1)

Answer»

Solution :`INT((sec^(-1)x)^2dx)/(xsqrt(x^2-1)`
[PUT`sec^(-1)x=t then `DX/(xsqrt(x^2-1))=DT`
`intt^2dt`
`(/3)t^3+C=(1/3)(sec^(-1)x)^3+C`


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