Evaluate
\frac{4}{\ln(2)}\approx 5.770780164
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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^{3}\ln(2)^{-1}-2^{2}\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{4}{\ln(2)}
Simplify.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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