Final answer to the problem
Step-by-step Solution
Specify the solving method
Divide $x^2+x-2$ by $2x^2-6$
Learn how to solve simplification of algebraic expressions problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}2x^{2}-6;}{\phantom{;}\frac{1}{2}\phantom{;}\phantom{;}}\\\phantom{;}2x^{2}-6\overline{\smash{)}\phantom{;}x^{2}+x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2x^{2}-6;}\underline{-x^{2}\phantom{-;x^n}+3\phantom{;}\phantom{;}}\\\phantom{-x^{2}+3\phantom{;}\phantom{;};}\phantom{;}x\phantom{;}+1\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve simplification of algebraic expressions problems step by step online. Find the integral int((x^2+x+-2)/(2x^2-6))dx. Divide x^2+x-2 by 2x^2-6. Resulting polynomial. Expand the integral \int\left(\frac{1}{2}+\frac{x+1}{2x^2-6}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{2}dx results in: \frac{1}{2}x.