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