ज्ञात करें `int (sqrt(cot x) + sqrt(tan x) dx`

Explanation

`I = int ( sqrt(cot x)+sqrt(tan x)) dx = int (cos x + sin x)/sqrt(sin x cos x)dx`
`=sqrt2 int (cos x + sin x)/sqrt(2 sin x cos x)dx [ cos x + sin x = d.c. of ( sin x - cos x)]`
`sqrt2 int (cos x + sin x)/sqrt(1-(sin x -cox x)^2)dx = sqrt2 int (dz)/sqrt(1-z^2), ` जहां `z = sin x - cosx`
`=sqrt2 sin^(-1) z + c = sqrt2 sin^(-1)( sin x - cos x) +c`