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

Question 93

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

Correct Answer:

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