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How do you integrate $\int 2 x^{3} {cos x}^{2}$ $int 2x^3cosx^2$ by parts?

1 Answer

Apr 3, 2017

Note that $\int 2 x^{3} {cos x}^{2} d x = 2 \int x^{3} {cos x}^{2} d x$ $int2x^3cosx^2 dx= 2 int x^3cosx^2 dx$ , so this answer will also answer this question. https://socratic.org/questions/what-is-the-integral-of-x-3-cos-x-2-dx#243038

Explanation:

You should get

$x^{2} sin (x^{2}) + cos (x^{2}) + C$ $x^2sin(x^2)+cos(x^2) +C$ .

(Check the answer by differentiating.)

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