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Question Number 33507 by MJS last updated on 18/Apr/18

$$\int \frac{2\cos x}{3-\cos 2x}dx=?$$

Answered by math1967 last updated on 18/Apr/18

$$\int \frac{2cosx}{3-1+2{sin}^{2}x}dx$$$$\int \frac{2cosx}{2(1+{sin}^{2}x)}dx$$$$\int \frac{d\left(sinx\right)}{1+{sin}^{2}x}$$$${\tan }^{-1}sinx+c$$

Commented by MJS last updated on 18/Apr/18

$$\mathrm{thank}\mathrm{you}$$

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