Final Answer
Step-by-step Solution
Specify the solving method
Divide $x^2$ by $x^2+x-6$
Learn how to solve integrals of rational functions problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}x^{2}+x\phantom{;}-6;}{\phantom{;}1\phantom{;}\phantom{;}}\\\phantom{;}x^{2}+x\phantom{;}-6\overline{\smash{)}\phantom{;}x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}x^{2}+x\phantom{;}-6;}\underline{-x^{2}-x\phantom{;}+6\phantom{;}\phantom{;}}\\\phantom{-x^{2}-x\phantom{;}+6\phantom{;}\phantom{;};}-x\phantom{;}+6\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x^2)/(x^2+x+-6))dx. Divide x^2 by x^2+x-6. Resulting polynomial. Expand the integral \int\left(1+\frac{-x+6}{x^2+x-6}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int1dx results in: x.