Evaluate
2\left(e-1\right)\approx 3.436563657
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\int 2e^{x}\mathrm{d}x
Evaluate the indefinite integral first.
2\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.
2e^{x}
Use \int e^{x}\mathrm{d}x=e^{x} from the table of common integrals to obtain the result.
2e^{1}-2e^{0}
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.
2e-2
Simplify.
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Simultaneous equation
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Integration
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Limits
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