$\int \frac{{c o s}^{3} x - {s i n}^{3} x}{1 - 2 {s i n}^{2} x {c o s}^{2} x} d x$ = $K s i n 2 x + c$ then K =

- 1/2

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Solution

The correct option is B
1/2

$\int c o s 2 x d x = \frac{1}{2} s i n 2 x + c \Rightarrow k = \frac{1}{2}$

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