Final answer to the problem
$\frac{1}{2}x^2+\frac{9}{2}\ln\left|x+3\right|+\frac{9}{2}\ln\left|x-3\right|+C_0$
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Step-by-step Solution
How should I solve this problem?
- 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
- FOIL Method
- Load more...
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1
Factor the difference of squares $x^2-9$ as the product of two conjugated binomials
$\int\frac{x^3}{\left(x+3\right)\left(x-3\right)}dx$
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{x^3}{\left(x+3\right)\left(x-3\right)}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x^3)/(x^2-9))dx. Factor the difference of squares x^2-9 as the product of two conjugated binomials. Expand. Divide x^3 by x^2-9. Resulting polynomial.
Final answer to the problem
$\frac{1}{2}x^2+\frac{9}{2}\ln\left|x+3\right|+\frac{9}{2}\ln\left|x-3\right|+C_0$
