Evaluate the indefinite integral. $$ \int x^{5} \sqrt{x^{3}+1} d x $$
Added by Robert F.
Step 1
Let $u = x^3 + 1$, then $du = 3x^2 dx$ and we can rewrite the integral as: $$ \int x^5 \sqrt{x^3+1} dx = \frac{1}{3} \int u^{3/2} dx $$ Show more…
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