Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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
- Load more...
Rewrite the expression $\frac{1}{x\left(x^2-4\right)}$ inside the integral in factored form
Learn how to solve problems step by step online.
$\int\frac{1}{x\left(x+2\right)\left(x-2\right)}dx$
Learn how to solve problems step by step online. Find the integral int(1/(x(x^2-4)))dx. Rewrite the expression \frac{1}{x\left(x^2-4\right)} inside the integral in factored form. Rewrite the fraction \frac{1}{x\left(x+2\right)\left(x-2\right)} in 3 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{-1}{4x}+\frac{1}{8\left(x+2\right)}+\frac{1}{8\left(x-2\right)}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{-1}{4x}dx results in: -\frac{1}{4}\ln\left(x\right).
