Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using basic integrals
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Product of Binomials with Common Term
- FOIL Method
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Divide $3x^3+2x-2$ by $x^3+1$
Learn how to solve problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}x^{3}+1;}{\phantom{;}3\phantom{;}\phantom{;}}\\\phantom{;}x^{3}+1\overline{\smash{)}\phantom{;}3x^{3}\phantom{-;x^n}+2x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{3}+1;}\underline{-3x^{3}\phantom{-;x^n}\phantom{-;x^n}-3\phantom{;}\phantom{;}}\\\phantom{-3x^{3}-3\phantom{;}\phantom{;};}\phantom{;}2x\phantom{;}-5\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve problems step by step online. Find the integral int((3x^3+2x+-2)/(x^3+1))dx. Divide 3x^3+2x-2 by x^3+1. Resulting polynomial. Expand the integral \int\left(3+\frac{2x-5}{x^3+1}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int3dx results in: 3x.