Evaluate
5\ln(24)\approx 15.890269152
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\int \log_{e}\left(4\right)+\log_{e}\left(6\right)\mathrm{d}x
Evaluate the indefinite integral first.
\left(\log_{e}\left(4\right)+\log_{e}\left(6\right)\right)x
Find the integral of \log_{e}\left(4\right)+\log_{e}\left(6\right) using the table of common integrals rule \int a\mathrm{d}x=ax.
\ln(24)x
Simplify.
\left(3\ln(2)+\ln(3)\right)\times 5-\left(3\ln(2)+\ln(3)\right)\times 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.
\ln(7962624)
Simplify.
Examples
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y = 3x + 4
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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