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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 $x^5$ by $1+x^2$
Learn how to solve integrals of rational functions problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}x^{2}+1;}{\phantom{;}x^{3}\phantom{-;x^n}-x\phantom{;}\phantom{-;x^n}}\\\phantom{;}x^{2}+1\overline{\smash{)}\phantom{;}x^{5}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}x^{2}+1;}\underline{-x^{5}\phantom{-;x^n}-x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{5}-x^{3};}-x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}x^{2}+1-;x^n;}\underline{\phantom{;}x^{3}\phantom{-;x^n}+x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}x^{3}+x\phantom{;}-;x^n;}\phantom{;}x\phantom{;}\phantom{-;x^n}\\\end{array}$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x^5)/(1+x^2))dx. Divide x^5 by 1+x^2. Resulting polynomial. Expand the integral \int\left(x^{3}-x+\frac{x}{1+x^2}\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}.
