# How do you integrate int 2x^3cosx^2 by parts?

Note that $\int 2 {x}^{3} \cos {x}^{2} \mathrm{dx} = 2 \int {x}^{3} \cos {x}^{2} \mathrm{dx}$, so this answer will also answer this question. https://socratic.org/questions/what-is-the-integral-of-x-3-cos-x-2-dx#243038
${x}^{2} \sin \left({x}^{2}\right) + \cos \left({x}^{2}\right) + C$.