Final answer to the problem
Step-by-step Solution
Specify the solving method
Divide $4x^2+2x+4$ by $x^2+6x+8$
Learn how to solve integrals of rational functions problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}x^{2}+6x\phantom{;}+8;}{\phantom{;}4\phantom{;}\phantom{;}}\\\phantom{;}x^{2}+6x\phantom{;}+8\overline{\smash{)}\phantom{;}4x^{2}+2x\phantom{;}+4\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}+6x\phantom{;}+8;}\underline{-4x^{2}-24x\phantom{;}-32\phantom{;}\phantom{;}}\\\phantom{-4x^{2}-24x\phantom{;}-32\phantom{;}\phantom{;};}-22x\phantom{;}-28\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((4x^2+2x+4)/(x^2+6x+8))dx. Divide 4x^2+2x+4 by x^2+6x+8. Resulting polynomial. Expand the integral \int\left(4+\frac{-22x-28}{x^2+6x+8}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int4dx results in: 4x.