Final Answer
Step-by-step Solution
Specify the solving method
Divide $x^3+4x^2+x-1$ by $x^3+x^2$
Learn how to solve integrals of rational functions problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}x^{3}+x^{2};}{\phantom{;}1\phantom{;}\phantom{;}}\\\phantom{;}x^{3}+x^{2}\overline{\smash{)}\phantom{;}x^{3}+4x^{2}+x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{3}+x^{2};}\underline{-x^{3}-x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-x^{2};}\phantom{;}3x^{2}+x\phantom{;}-1\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x^3+4x^2x+-1)/(x^3+x^2))dx. Divide x^3+4x^2+x-1 by x^3+x^2. Resulting polynomial. Expand the integral \int\left(1+\frac{3x^{2}+x-1}{x^3+x^2}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int1dx results in: x.