Evaluate:`int{sqrt(t a nx)+sqrt(cotx)} d x`

Explanation

`
int sqrt{tan x}+sqrt{cot x} d x=int frac{sqrt{sin x}}{sqrt{cos x}}+frac{sqrt{cos x}}{sqrt{sin x}} d x
`


`int frac{sin x+cos x}{sqrt{sin x cos x}} d x=sqrt{2} int frac{sin x+cos x}{sqrt{2 sin x cos x}} d x`



`implies sqrt{2} int frac{sin x+cos x}{sqrt{2 sin x cos x+1-1}} d x=sqrt{2} int frac{sin x+cos x}{sqrt{1-(sin x-cos x)^{2}}} d x`
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