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The Integral ∫sin⁡xcos⁡(2x)dx\int \sin x \cos ( 2 x ) d x

Question 17

Multiple Choice

The integral ∫sin⁡xcos⁡(2x) dx\int \sin x \cos ( 2 x ) d x is


A) 3cos⁡x+cos⁡(3x) 6+C\frac { 3 \cos x + \cos ( 3 x ) } { 6 } + C
B) −3cos⁡x−cos⁡(3x) 6+C\frac { - 3 \cos x - \cos ( 3 x ) } { 6 } + C
C) 3cos⁡x−cos⁡(3x) 6+C\frac { 3 \cos x - \cos ( 3 x ) } { 6 } + C
D) 3sin⁡x−sin⁡(3x) 6+C\frac { 3 \sin x - \sin ( 3 x ) } { 6 } + C
E) 3sin⁡x+sin⁡(3x) 6+C\frac { 3 \sin x + \sin ( 3 x ) } { 6 } + C

Correct Answer:

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