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\frac{2\int _{0}^{2}\frac{1}{3}\mathrm{d}xx^{3}+2y^{2}x-x^{2}}{2}
Factor out \frac{1}{2}.
x\left(2\int _{0}^{2}\frac{1}{3}\mathrm{d}xx^{2}+2y^{2}-x\right)
Consider 2\int _{0}^{2}\frac{1}{3}\mathrm{d}xx^{3}+2y^{2}x-x^{2}. Factor out x.
\frac{x\left(2\int _{0}^{2}\frac{1}{3}\mathrm{d}xx^{2}+2y^{2}-x\right)}{2}
Rewrite the complete factored expression.