Final Answer
Step-by-step Solution
Specify the solving method
Divide $x^2$ by $x+4$
Learn how to solve integrals of rational functions problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+4;}{\phantom{;}x\phantom{;}-4\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+4\overline{\smash{)}\phantom{;}x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}x\phantom{;}+4;}\underline{-x^{2}-4x\phantom{;}\phantom{-;x^n}}\\\phantom{-x^{2}-4x\phantom{;};}-4x\phantom{;}\phantom{-;x^n}\\\phantom{\phantom{;}x\phantom{;}+4-;x^n;}\underline{\phantom{;}4x\phantom{;}+16\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}4x\phantom{;}+16\phantom{;}\phantom{;}-;x^n;}\phantom{;}16\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x^2)/(x+4))dx. Divide x^2 by x+4. Resulting polynomial. Expand the integral \int\left(x-4+\frac{16}{x+4}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. We can solve the integral \int\frac{16}{x+4}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that x+4 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.