Evaluate
\frac{3}{e^{3}}-3\approx -2.850638795
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\int -3e^{x}\mathrm{d}x
Evaluate the indefinite integral first.
-3\int e^{x}\mathrm{d}x
Factor out the constant using \int af\left(x\right)\mathrm{d}x=a\int f\left(x\right)\mathrm{d}x.
-3e^{x}
Use \int e^{x}\mathrm{d}x=e^{x} from the table of common integrals to obtain the result.
-3e^{0}+3e^{-3}
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{3}{e^{3}}-3
Simplify.
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