Evaluate the Integral $\int _ { 0 } ^ { \ln 3 } \mathrm { e } ^ { - \mathrm { t } } \sinh \mathrm { tdt }$

question 37

Multiple Choice

Evaluate the integral.
- $\int _ { 0 } ^ { \ln 3 } \mathrm { e } ^ { - \mathrm { t } } \sinh \mathrm { tdt }$

• A) \(\ln \frac { 3 } { 2 } - \frac { 2 } { 9 }\)
• B) \(\frac { \ln 3 } { 2 } + \frac { 1 } { 36 }\)
• C) \(\frac { \ln 3 } { 2 } + 2\)
• D) \(\frac { \ln 3 } { 2 } - \frac { 2 } { 9 }\)

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