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Question Number 141532 by sarkor last updated on 20/May/21

Answered by qaz last updated on 20/May/21

$$\int \frac{3\sin x-2\cos x}{1+\cos x}dx$$$$=\int \frac{6\sin \frac{x}{2}\cos \frac{x}{2}-4\cos {}^2\frac{x}{2}+2}{2\cos {}^2\frac{x}{2}}dx$$$$=\int (3\tan \frac{x}{2}-2+\sec {}^2\frac{x}{2})dx$$$$=6ln\mid \cos \frac{x}{2}\mid -2x+2\tan \frac{x}{2}+C$$

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