Evaluate
\frac{6}{\ln(3)}\approx 5.46143536
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\int 3^{x}\mathrm{d}x
Evaluate the indefinite integral first.
\frac{3^{x}}{\ln(3)}
Use \int x^{y}\mathrm{d}y=\frac{x^{y}}{\ln(x)} from the table of common integrals to obtain the result.
3^{2}\ln(3)^{-1}-3^{1}\ln(3)^{-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{6}{\ln(3)}
Simplify.
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