Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by trigonometric substitution
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Divide $x^3$ by $x^2+3x-4$
Learn how to solve problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}x^{2}+3x\phantom{;}-4;}{\phantom{;}x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{;}x^{2}+3x\phantom{;}-4\overline{\smash{)}\phantom{;}x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}x^{2}+3x\phantom{;}-4;}\underline{-x^{3}-3x^{2}+4x\phantom{;}\phantom{-;x^n}}\\\phantom{-x^{3}-3x^{2}+4x\phantom{;};}-3x^{2}+4x\phantom{;}\phantom{-;x^n}\\\phantom{\phantom{;}x^{2}+3x\phantom{;}-4-;x^n;}\underline{\phantom{;}3x^{2}+9x\phantom{;}-12\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}3x^{2}+9x\phantom{;}-12\phantom{;}\phantom{;}-;x^n;}\phantom{;}13x\phantom{;}-12\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve problems step by step online. Find the integral int((x^3)/(x^2+3x+-4))dx. Divide x^3 by x^2+3x-4. Resulting polynomial. Expand the integral \int\left(x-3+\frac{13x-12}{x^2+3x-4}\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.