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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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Divide $x^2+x+3$ by $x-2$
Learn how to solve integrals of rational functions problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}-2;}{\phantom{;}x\phantom{;}+3\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}-2\overline{\smash{)}\phantom{;}x^{2}+x\phantom{;}+3\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}-2;}\underline{-x^{2}+2x\phantom{;}\phantom{-;x^n}}\\\phantom{-x^{2}+2x\phantom{;};}\phantom{;}3x\phantom{;}+3\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}-2-;x^n;}\underline{-3x\phantom{;}+6\phantom{;}\phantom{;}}\\\phantom{;-3x\phantom{;}+6\phantom{;}\phantom{;}-;x^n;}\phantom{;}9\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x^2+x+3)/(x-2))dx. Divide x^2+x+3 by x-2. Resulting polynomial. Expand the integral \int\left(x+3+\frac{9}{x-2}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int xdx results in: \frac{1}{2}x^2.
