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 $x^5+2$ by $x^2-1$
Learn how to solve problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}x^{2}-1;}{\phantom{;}x^{3}\phantom{-;x^n}+x\phantom{;}\phantom{-;x^n}}\\\phantom{;}x^{2}-1\overline{\smash{)}\phantom{;}x^{5}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}+2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}-1;}\underline{-x^{5}\phantom{-;x^n}+x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{5}+x^{3};}\phantom{;}x^{3}\phantom{-;x^n}\phantom{-;x^n}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}-1-;x^n;}\underline{-x^{3}\phantom{-;x^n}+x\phantom{;}\phantom{-;x^n}}\\\phantom{;-x^{3}+x\phantom{;}-;x^n;}\phantom{;}x\phantom{;}+2\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve problems step by step online. Find the integral int((x^5+2)/(x^2-1))dx. Divide x^5+2 by x^2-1. Resulting polynomial. Expand the integral \int\left(x^{3}+x+\frac{x+2}{x^2-1}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^{3}dx results in: \frac{x^{4}}{4}.
