Evaluate
\frac{7}{2\ln(2)}\approx 5.049432643
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\int 2^{x}\mathrm{d}x
Evaluate the indefinite integral first.
\frac{2^{x}}{\ln(2)}
Use \int x^{y}\mathrm{d}y=\frac{x^{y}}{\ln(x)} from the table of common integrals to obtain the result.
2^{2}\ln(2)^{-1}-2^{-1}\ln(2)^{-1}
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{7}{2\ln(2)}
Simplify.
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