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Find the Integral ∫sin⁡3xcos⁡6xdx\int \sin ^ { 3 } x \cos ^ { 6 } x d x

Question 75

Multiple Choice

Find the integral.
∫sin⁡3xcos⁡6xdx\int \sin ^ { 3 } x \cos ^ { 6 } x d x


A) 17cos⁡7x−15cos⁡5x+C\frac { 1 } { 7 } \cos ^ { 7 } x - \frac { 1 } { 5 } \cos ^ { 5 } x + C
B) −19cos⁡9x+17cos⁡7x+C- \frac { 1 } { 9 } \cos ^ { 9 } x + \frac { 1 } { 7 } \cos ^ { 7 } x + C
C) −17cos⁡7x+15cos⁡5x+C- \frac { 1 } { 7 } \cos ^ { 7 } x + \frac { 1 } { 5 } \cos ^ { 5 } x + C
D) 19cos⁡9x−17cos⁡7x+C\frac { 1 } { 9 } \cos ^ { 9 } x - \frac { 1 } { 7 } \cos ^ { 7 } x + C

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