Evaluate
6tx\ln(t)+С
Differentiate w.r.t. x
6t\ln(t)
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6t\log_{e}\left(t\right)x
Find the integral of 6t\log_{e}\left(t\right) using the table of common integrals rule \int a\mathrm{d}x=ax.
6t\ln(t)x
Simplify.
6t\ln(t)x+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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