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Find the Integral e3xsin5xdx\int e ^ { 3 x } \sin 5 x d x

Question 136

Multiple Choice

Find the integral.
e3xsin5xdx\int e ^ { 3 x } \sin 5 x d x
Select the correct answer.


A) 134e3x(3sin5x3cos5x) C\frac { 1 } { 34 } e ^ { 3 x } ( 3 \sin 5 x - 3 \cos 5 x ) - C

B) 134e3x(3sin5x5cos3x) C\frac { 1 } { 34 } e ^ { 3 x } ( 3 \sin 5 x - 5 \cos 3 x ) - C

C) 134e3x(3sin5x3cos5x) +C\frac { 1 } { 34 } e ^ { 3 x } ( 3 \sin 5 x - 3 \cos 5 x ) + C

D) 134e3x(3sin5x5cos5x) +C\frac { 1 } { 34 } e ^ { 3 x } ( 3 \sin 5 x - 5 \cos 5 x ) + C

Correct Answer:

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