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Evaluate the Integral ∫xsin⁡3xcos⁡3xdx\int x \sin 3 x \cos 3 x d x

Question 1

Multiple Choice

Evaluate the integral. ∫xsin⁡3xcos⁡3xdx\int x \sin 3 x \cos 3 x d x


A) −19(cos⁡9x−9xsin⁡9x) +C-\frac{1}{9}(\cos 9 x-9 x \sin 9 x) +C
B) 118(sin⁡3x−3xcos⁡3x) +C\frac{1}{18}(\sin 3 x-3 x \cos 3 x) +C
C) 19(sin⁡9x−49cos⁡9x) +C\frac{1}{9}(\sin 9 x-49 \cos 9 x) +C
D) −118(sin⁡18x−18xcos⁡18x) +C-\frac{1}{18}(\sin 18 x-18 x \cos 18 x) +C
E) None of these

Correct Answer:

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