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Question Number 141085 by iloveisrael last updated on 15/May/21

Answered by mindispower last updated on 15/May/21

$$sin\left(3a\right)=3sin\left(a\right)-4{sin}^3\left(a\right)......$$

Answered by qaz last updated on 15/May/21

$$\int \frac{\sin \left(\frac{3x}{4}\right)}{\sin \left(\frac{x}{4}\right)}dx=\int \frac{3\sin \left(\frac{x}{4}\right)-4\sin {}^3\left(\frac{x}{4}\right)}{\sin \left(\frac{x}{4}\right)}dx$$$$=3x+2\int (1-2\sin {}^2\frac{x}{4}-1)dx$$$$=x+2\int \cos \frac{x}{2}dx$$$$=x+4\sin \frac{x}{2}+C$$

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