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Mathematics
∫ 4 sin x cos (x/2) cos (3 x/2) d x is equal to -
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Q. $\int 4 \sin x \cos \frac{x}{2} \cos \frac{3 x}{2} d x$ is equal to -
Integrals
A
$\cos x-\frac{1}{2} \cos 2 x+\frac{1}{3} \cos 3 x+c$
B
$\cos x-\frac{1}{2} \cos 2 x-\frac{1}{3} \cos 3 x+c$
C
$\cos x+\frac{1}{2} \cos 2 x+\frac{1}{3} \cos 3 x+c$
D
$\cos x+\frac{1}{2} \cos 2 x-\frac{1}{3} \cos 3 x+c$
Solution:
Correct answer is (b) $\cos x-\frac{1}{2} \cos 2 x-\frac{1}{3} \cos 3 x+c$