Final answer to the problem
Step-by-step Solution
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 $x^4+8x^2+8$ by $x^3-4x$
Learn how to solve problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}x^{3}-4x\phantom{;};}{\phantom{;}x\phantom{;}\phantom{-;x^n}}\\\phantom{;}x^{3}-4x\phantom{;}\overline{\smash{)}\phantom{;}x^{4}\phantom{-;x^n}+8x^{2}\phantom{-;x^n}+8\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{3}-4x\phantom{;};}\underline{-x^{4}\phantom{-;x^n}+4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{4}+4x^{2};}\phantom{;}12x^{2}\phantom{-;x^n}+8\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve problems step by step online. Find the integral int((x^4+8x^2+8)/(x^3-4x))dx. Divide x^4+8x^2+8 by x^3-4x. Resulting polynomial. Expand the integral \int\left(x+\frac{12x^{2}+8}{x^3-4x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int xdx results in: \frac{1}{2}x^2.