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Differentiate w.r.t. x
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\left(x^{2}+x\right)u
Find the integral of x^{2}+x using the table of common integrals rule \int a\mathrm{d}u=au.
\left(x^{2}+x\right)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.