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Divide $4x^3+5$ by $3x+2$
Learn how to solve differential equations problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}3x\phantom{;}+2;}{\frac{4}{3}x^{2}+\frac{-\frac{8}{3}}{3}x\phantom{;}+\frac{\frac{16}{9}}{3}\phantom{;}\phantom{;}}\\\phantom{;}3x\phantom{;}+2\overline{\smash{)}\phantom{;}4x^{3}\phantom{-;x^n}\phantom{-;x^n}+5\phantom{;}\phantom{;}}\\\phantom{\phantom{;}3x\phantom{;}+2;}\underline{-4x^{3}-\frac{8}{3}x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-4x^{3}-\frac{8}{3}x^{2};}-\frac{8}{3}x^{2}\phantom{-;x^n}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x\phantom{;}+2-;x^n;}\underline{\phantom{;}2.6666667x^{2}+\frac{16}{9}x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}2.6666667x^{2}+\frac{16}{9}x\phantom{;}-;x^n;}\frac{16}{9}x\phantom{;}+5\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x\phantom{;}+2-;x^n-;x^n;}\underline{-1.7777778x\phantom{;}-\frac{32}{27}\phantom{;}\phantom{;}}\\\phantom{;;-1.7777778x\phantom{;}-\frac{32}{27}\phantom{;}\phantom{;}-;x^n-;x^n;}\frac{103}{27}\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve differential equations problems step by step online. Find the integral int((4x^3+5)/(3x+2))dx. Divide 4x^3+5 by 3x+2. Resulting polynomial. Expand the integral \int\left(\frac{4}{3}x^{2}-\frac{8}{9}x+\frac{16}{27}+\frac{103}{27\left(3x+2\right)}\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{4}{3}x^{2}dx results in: \frac{4x^{3}}{9}.