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[tex]{\mathop{\rm Im}\nolimits} \int {e^{x(2 + 3i)} } dx[/tex]

One sec, I'm having another go at it.

[tex]

= {\mathop{\rm Im}\nolimits} \int {e^2 } e^{3ix} dx[/tex]

[tex]

= {\mathop{\rm Im}\nolimits} \int {e^2 } [\cos (3x) + i\sin (3x)]dx

[/tex]

[tex]

\begin{array}{l}

= \frac{{ - e^2 \cos (3t)}}{3} \\

\end{array}

[/tex]

How'd I go?

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# Complex Integral

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