Final answer to the problem
Step-by-step Solution
Specify the solving method
Divide $u^5$ by $1+u^3$
Learn how to solve integrals of rational functions problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}u^{3}+1;}{\phantom{;}u^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;}u^{3}+1\overline{\smash{)}\phantom{;}u^{5}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}u^{3}+1;}\underline{-u^{5}\phantom{-;x^n}\phantom{-;x^n}-u^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-u^{5}-u^{2};}-u^{2}\phantom{-;x^n}\phantom{-;x^n}\\\end{array}$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((u^5)/(1+u^3))du. Divide u^5 by 1+u^3. Resulting polynomial. Simplify the expression inside the integral. The integral \int u^{2}du results in: \frac{u^{3}}{3}.