Evaluate
\frac{2\pi }{e^{jnt}}
Differentiate w.r.t. j
-\frac{2\pi nt}{e^{jnt}}
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\int \frac{1}{e^{jnt}}\mathrm{d}x
Evaluate the indefinite integral first.
\frac{x}{e^{jnt}}
Find the integral of \frac{1}{e^{jnt}} using the table of common integrals rule \int a\mathrm{d}x=ax.
e^{-jnt}\pi -e^{-jnt}\left(-1\right)\pi
The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.
\frac{2\pi }{e^{jnt}}
Simplify.
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