1.

Evaluate `int(sqrt(tanx))/(sinx. cos x) dx`

Answer» Let `I = int(sqrt(tan)x)/(sinx.cos x)dx`
` = int(sqrt(tanx).sec^(2)x)/(tanx)`
`= int(sec^(2)x)/(sqrt(tanx))dx`
`therefore int(sqrt(tan)x)/(sinx.cos x dx) dx = 2 sqrt(tan)x + c`


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