Evaluate the Integral $$\int \mathrm { e } ^ { 3 x } \cos 2 \mathrm { xdx }$$

question 48

Multiple Choice

Evaluate the integral.
- $$\int \mathrm { e } ^ { 3 x } \cos 2 \mathrm { xdx }$$

• A) \(\frac { 1 } { 13 } \left[ 2 \mathrm { e } ^ { 3 \mathrm { x } } \sin 2 \mathrm { x } + 3 \cos 2 \mathrm { x } \right] + \mathrm { C }\)
• B) \(\frac { e ^ { 3 x } } { 13 } [ 2 \sin 2 x - 3 \cos 2 x ] + C\)
• C) \(\frac { e ^ { 3 x } } { 13 } [ 2 \sin 2 x + 3 \cos 2 x ] + C\)
• D) \(\frac { \mathrm { e } ^ { 3 x } } { 2 } [ \sin 2 x + \cos 2 x ] + C\)

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