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Differentiate w.r.t. x
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\int \log_{e}\left(\frac{1}{1}\right)\mathrm{d}x
Subtract 1 from 2 to get 1.
\int \log_{e}\left(1\right)\mathrm{d}x
Anything divided by one gives itself.
\log_{e}\left(1\right)x
Find the integral of \log_{e}\left(1\right) using the table of common integrals rule \int a\mathrm{d}x=ax.
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Simplify.
С
If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.
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