Evaluate
\left(b-a\right)\ln(m)
Differentiate w.r.t. m
\frac{b-a}{m}
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\int \log_{e}\left(m\right)\mathrm{d}x
Evaluate the indefinite integral first.
\log_{e}\left(m\right)x
Find the integral of \log_{e}\left(m\right) using the table of common integrals rule \int a\mathrm{d}x=ax.
\ln(m)x
Simplify.
\ln(m)b-\ln(m)a
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(m)\left(b-a\right)
Simplify.
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Matrix
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Simultaneous equation
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Differentiation
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Integration
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Limits
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