∫((cos 5x+cos 4x)/(1−2cos 3x))dx = ?


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Question Number 38057 by ajfour last updated on 21/Jun/18

$\int \frac{\cos 5 x + \cos 4 x}{1 - 2 \cos 3 x} d x = ?$
	Answered by tanmay.chaudhury50@gmail.com last updated on 21/Jun/18

	$\int \frac{s i n 3 x (c o s 5 x + c o z 4 x)}{s i n 3 x - s i n 6 x} d x$ $\int \frac{s i n 3 x (c o s 5 x + c o s 4 x)}{- 2 c o s \frac{9 x}{2} s i n \frac{3 x}{2}} d x$ $\int \frac{2 s i n \frac{3 x}{2} c o s \frac{3 x}{2} \times 2 c o s \frac{9 x}{2} c o s \frac{x}{2}}{- 2 c o s \frac{9 x}{2} s i n \frac{3 x}{2}} d x$ $= - 1 \times \int \frac{2 c o s \frac{3 x}{2} c o s \frac{x}{2}}{} d x$ $= - 1 \times \int (c o s 2 x + c o s x) d x$ $= - 1 \times {\frac{s i n 2 x}{2} + \frac{s i n x}{}} + c$
	Commented by ajfour last updated on 21/Jun/18

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