Evaluate
-\frac{1}{e^{\pi }}+e^{\pi }\approx 23.097478715
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\int e^{x}\mathrm{d}x
Evaluate the indefinite integral first.
e^{x}
Use \int e^{x}\mathrm{d}x=e^{x} from the table of common integrals to obtain the result.
e^{\pi }-e^{-\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.
e^{\pi }-\frac{1}{e^{\pi }}
Simplify.
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Matrix
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Integration
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Limits
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