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Find the Integral ∫e2xsin⁡5xdx\int e ^ { 2 x } \sin 5 x d x

Question 15

Multiple Choice

Find the integral.
∫e2xsin⁡5xdx\int e ^ { 2 x } \sin 5 x d x


A) 129e2x(2sin⁡5x−5cos⁡5x) +C\frac { 1 } { 29 } e ^ { 2 x } ( 2 \sin 5 x - 5 \cos 5 x ) + C
B) 129e2x(2sin⁡5x−5cos⁡2x) +C\frac { 1 } { 29 } e ^ { 2 x } ( 2 \sin 5 x - 5 \cos 2 x ) + C
C) 129e2x(2sin⁡5x−2cos⁡5x) +C\frac { 1 } { 29 } e ^ { 2 x } ( 2 \sin 5 x - 2 \cos 5 x ) + C
D) 129e2x(2sin⁡5x−2cos⁡5x) +C\frac { 1 } { 29 } e ^ { 2 x } ( 2 \sin 5 x - 2 \cos 5 x ) + C .

Correct Answer:

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