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# Integrate : $\int \large\frac{5}{7} $$\sin (3x+7) \cos (3x+7) dx (a)\;\frac{-5}{84} \sin (6x+14)+c \\(b)\;\frac{-5}{84} \cos (6x+14)+c\\(c)\;\frac{-5}{21} \sin (6x+14)+c \\ (d)\;None Can you answer this question? ## 1 Answer 0 votes By \sin 2 \theta = 2 \sin \theta \cos \theta \large\frac{5}{14}$$\int \sin (6x+14) dx$
=> $\large\frac{-5}{14} \frac{\cos(6x+4)} {6}+c$