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Find the Integral e2xsin5xdx\int e ^ { 2 x } \sin 5 x d x

Question 6

Multiple Choice

Find the integral.
e2xsin5xdx\int e ^ { 2 x } \sin 5 x d x


A) 129e2x(2sin5x5cos5x) +C\frac { 1 } { 29 } e ^ { 2 x } ( 2 \sin 5 x - 5 \cos 5 x ) + C
B) 129e2x(2sin5x5cos2x) C\frac { 1 } { 29 } e ^ { 2 x } ( 2 \sin 5 x - 5 \cos 2 x ) - C
C) 129e2x(2sin5x2cos5x) +C\frac { 1 } { 29 } e ^ { 2 x } ( 2 \sin 5 x - 2 \cos 5 x ) + C
D) 129e2x(2sin5x2cos5x) C\frac { 1 } { 29 } e ^ { 2 x } ( 2 \sin 5 x - 2 \cos 5 x ) - C

Correct Answer:

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