Calculate $$ \int x^{3} \arctan x d x $$
Added by Timothy M.
Step 1
Then we find $du = \frac{1}{1+x^2} dx$ and $v = \frac{1}{4}x^4$. Substituting these into the integration by parts formula, we get: $$\int x^{3} \arctan x d x = \frac{1}{4}x^4 \arctan x - \int \frac{1}{4}x^4 \cdot \frac{1}{1+x^2} dx$$ Show more…
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