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