Evaluate: `intsqrt(secx-1)\ dx`

Explanation

I= `intsqrt(secx-1)\ dx`

I=`intsqrt((1-cosx)/(cosx)) dx`

I=`intsqrt((2sin^(x/2))/(2cos^(x/2)-1)) dx`

`u=cosx/2du`


`=−sin(x/2)×1/2​dx`

`I=``intsqrt((2sin^(x/2))/(2u^2-1)) dx**(-2)(du)/(sin(x/2)`

`I=−2sqrt(2)​∫(​du)/(sqrt(2u^2−1))`

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