Final Answer
Step-by-step Solution
Specify the solving method
Divide $3x^2+3$ by $x-1$
Learn how to solve integrals of rational functions problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-1;}{\phantom{;}3x\phantom{;}+3\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-1\overline{\smash{)}\phantom{;}3x^{2}\phantom{-;x^n}+3\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-1;}\underline{-3x^{2}+3x\phantom{;}\phantom{-;x^n}}\\\phantom{-3x^{2}+3x\phantom{;};}\phantom{;}3x\phantom{;}+3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-1-;x^n;}\underline{-3x\phantom{;}+3\phantom{;}\phantom{;}}\\\phantom{;-3x\phantom{;}+3\phantom{;}\phantom{;}-;x^n;}\phantom{;}6\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((3x^2+3)/(x-1))dx. Divide 3x^2+3 by x-1. Resulting polynomial. Expand the integral \int\left(3x+3+\frac{6}{x-1}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int3xdx results in: \frac{3}{2}x^2.