Final answer to the problem
Step-by-step Solution
Specify the solving method
Divide $3x^3-3x+4$ by $4x^2-4$
Learn how to solve integrals of rational functions problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}4x^{2}-4;}{\phantom{;}\frac{3}{4}x\phantom{;}\phantom{-;x^n}}\\\phantom{;}4x^{2}-4\overline{\smash{)}\phantom{;}3x^{3}\phantom{-;x^n}-3x\phantom{;}+4\phantom{;}\phantom{;}}\\\phantom{\phantom{;}4x^{2}-4;}\underline{-3x^{3}\phantom{-;x^n}+3x\phantom{;}\phantom{-;x^n}}\\\phantom{-3x^{3}+3x\phantom{;};}\phantom{;}4\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((3x^3-3x+4)/(4x^2-4))dx. Divide 3x^3-3x+4 by 4x^2-4. Resulting polynomial. Expand the integral \int\left(\frac{3}{4}x+\frac{1}{x^2-1}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{3}{4}xdx results in: \frac{3}{8}x^2.