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Evaluate the Integral xsinxcosxdx\int x \sin x \cos x d x

Question 1

Multiple Choice

Evaluate the integral. xsinxcosxdx\int x \sin x \cos x d x


A) 12cosxsinx+12x+C- \frac { 1 } { 2 } \cos x \sin x + \frac { 1 } { 2 } x + C
B) 12xsin2x+12cosx+C- \frac { 1 } { 2 } x \sin ^ { 2 } x + \frac { 1 } { 2 } \cos x + C
C) 18[sin2x2cos2x]+C\frac { 1 } { 8 } [ \sin 2 x - 2 \cos 2 x ] + C
D) 18[sin8x8cos8x]+C\frac { 1 } { 8 } [ \sin 8 x - 8 \cos 8 x ] + C
E)  none of these \text { none of these }

Correct Answer:

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