Evaluate: `int2/(2+sin2x)dx`

Explanation

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

`
I=int frac{2}{2(1+sin x cdot cos x)} cdot d x`

`
I=int frac{1}{1+sin x cdot cos x} cdot d x`


Divide by` cos ^{2} x` in numerator and denominator

`

I=int frac{1 / cos ^{2} x}{frac{1}{cos ^{2} theta}}`

`

I=int frac{sec ^{2} x}{sec ^{2} x+tan x}`

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