Final Answer
Step-by-step Solution
Specify the solving method
Divide $x^4-x^3-x-1$ by $x^3-x^2$
Learn how to solve integrals of rational functions problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}x^{3}-x^{2};}{\phantom{;}x\phantom{;}\phantom{-;x^n}}\\\phantom{;}x^{3}-x^{2}\overline{\smash{)}\phantom{;}x^{4}-x^{3}\phantom{-;x^n}-x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{3}-x^{2};}\underline{-x^{4}+x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{4}+x^{3};}-x\phantom{;}-1\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x^4-x^3-x+-1)/(x^3-x^2))dx. Divide x^4-x^3-x-1 by x^3-x^2. Resulting polynomial. Expand the integral \int\left(x+\frac{-x-1}{x^3-x^2}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int xdx results in: \frac{1}{2}x^2.