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Integrate the following functions sqrt(tanx)/(sinx cosx)

Answer»

Solution :`sqrt(TANX)/(sinx cosx) = sqrt(tanx)/(cos^2x (sinx/cosx))`
=`sqrt(tanx)/(cos^2x tanx) = sec^2x/sqrt(tanx)`
= Let t = tanx.
Then dt = `sec^2x DX `
THEREFORE `int sqrt(tanx)/(sinx cosx)`
=`int dt/sqrtt = 2sqrtt +C = 2sqrt(tanx) +c`


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