Final Answer
Step-by-step Solution
Specify the solving method
Divide $x^2-2x-1$ by $x-2$
Learn how to solve integrals of rational functions problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-2;}{\phantom{;}x\phantom{;}\phantom{-;x^n}}\\\phantom{;}x\phantom{;}-2\overline{\smash{)}\phantom{;}x^{2}-2x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-2;}\underline{-x^{2}+2x\phantom{;}\phantom{-;x^n}}\\\phantom{-x^{2}+2x\phantom{;};}-1\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x^2-2x+-1)/(x-2))dx. Divide x^2-2x-1 by x-2. Resulting polynomial. Expand the integral \int\left(x+\frac{-1}{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.