Find the Indefinite Integral $\int e ^ { t } \sin 6 t d t$

question 95

Multiple Choice

Find the indefinite integral.
$\int e ^ { t } \sin 6 t d t$

• A) \(\left( \frac { \sin 6 t + 6 \cos 6 t } { 37 } \right) e ^ { t } + C\)
• B) \(\left( \frac { - 6 \sin 6 t + \cos 6 t } { 37 } \right) e ^ { t } + C\)
• C) \(\left( \frac { 6 \sin 6 t + \cos 6 t } { 37 } \right) e ^ { t } + C\)
• D) \(\left( \frac { - \sin 6 t + 6 \cos 6 t } { 37 } \right) e ^ { t } + C\)
• E) \(\left( \frac { \sin 6 t - 6 \cos 6 t } { 37 } \right) e ^ { t } + C\)

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