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Differentiate w.r.t. x
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e^{2\log_{e}\left(x\right)}u
Find the integral of e^{2\log_{e}\left(x\right)} using the table of common integrals rule \int a\mathrm{d}u=au.
x^{2}u
Simplify.
x^{2}u+С
If F\left(u\right) is an antiderivative of f\left(u\right), then the set of all antiderivatives of f\left(u\right) is given by F\left(u\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.