$\int x^{3} \cos x d x=x^{3} \sin x+x^{2} \cos x-x \sin x-\cos x+C$ .

Name: $\int x^{3} \cos x d x=x^{3} \sin x+x^{2} \cos x-x \sin x-\cos x+C$ .
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Question

Quizplus · Accepted Answer

The integration by parts formula needs to be applied multiple times to solve $\int x^{3} \cos x \, dx$, and the given expression does not correctly represent the result of this integration.

∫x3cos⁡xdx=x3sin⁡x+x2cos⁡x−xsin⁡x−cos⁡x+C\int x^{3} \cos x d x=x^{3} \sin x+x^{2} \cos x-x \sin x-\cos x+C∫x3cosxdx=x3sinx+x2cosx−xsinx−cosx+C

$\int x^{3} \cos x d x=x^{3} \sin x+x^{2} \cos x-x \sin x-\cos x+C$