Question

Determine whether the statement is true or false:
4 sin x cos x dx = -cos 2x + C

Answer 1

False

Explanation:

`2\sin x \cos x =\sin 2x \implies 4 \sin x \cos x=2\sin 2x \\ \\ \therefore \int 4\sin x \cos x dx=2\int \sin 2x dx \\ \\ 2\int \sin 2x dx=(2)/(2)(-\cos 2x)+C=-\cos 2x+C`