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How should I solve this problem?
- Integrate by parts
- Integrate by partial fractions
- Integrate by substitution
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Divide $x^3-4x-10$ by $x^2-x-6$
Learn how to solve integrals of rational functions problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}x^{2}-x\phantom{;}-6;}{\phantom{;}x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{;}x^{2}-x\phantom{;}-6\overline{\smash{)}\phantom{;}x^{3}\phantom{-;x^n}-4x\phantom{;}-10\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}-x\phantom{;}-6;}\underline{-x^{3}+x^{2}+6x\phantom{;}\phantom{-;x^n}}\\\phantom{-x^{3}+x^{2}+6x\phantom{;};}\phantom{;}x^{2}+2x\phantom{;}-10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}-x\phantom{;}-6-;x^n;}\underline{-x^{2}+x\phantom{;}+6\phantom{;}\phantom{;}}\\\phantom{;-x^{2}+x\phantom{;}+6\phantom{;}\phantom{;}-;x^n;}\phantom{;}3x\phantom{;}-4\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x^3-4x+-10)/(x^2-x+-6))dx. Divide x^3-4x-10 by x^2-x-6. Resulting polynomial. Expand the integral \int\left(x+1+\frac{3x-4}{x^2-x-6}\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.