- #1
dcl
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Here is the problem:
[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?
[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?
Last edited: