$\int \frac{c o s 2 x}{(s i n x + c o s x)^{2}} d x =$

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Solution

The correct option is A

$I = \int \frac{c o s^{2} x - s i n^{2} x}{(c o s x + s i n x)^{2}} d x = \int \frac{c o s x - s i n x}{c o s x + s i n x} d x$

$= l o g | c o s x + s i n x | + c$

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