Final answer to the problem
Step-by-step Solution
Specify the solving method
Divide $x^3-2x$ by $x^2+3x+2$
Learn how to solve problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}x^{2}+3x\phantom{;}+2;}{\phantom{;}x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{;}x^{2}+3x\phantom{;}+2\overline{\smash{)}\phantom{;}x^{3}\phantom{-;x^n}-2x\phantom{;}\phantom{-;x^n}}\\\phantom{\phantom{;}x^{2}+3x\phantom{;}+2;}\underline{-x^{3}-3x^{2}-2x\phantom{;}\phantom{-;x^n}}\\\phantom{-x^{3}-3x^{2}-2x\phantom{;};}-3x^{2}-4x\phantom{;}\phantom{-;x^n}\\\phantom{\phantom{;}x^{2}+3x\phantom{;}+2-;x^n;}\underline{\phantom{;}3x^{2}+9x\phantom{;}+6\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}3x^{2}+9x\phantom{;}+6\phantom{;}\phantom{;}-;x^n;}\phantom{;}5x\phantom{;}+6\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve problems step by step online. Find the integral int((x^3-2x)/(x^2+3x+2))dx. Divide x^3-2x by x^2+3x+2. Resulting polynomial. Expand the integral \int\left(x-3+\frac{5x+6}{x^2+3x+2}\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.