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Rewrite the expression $\frac{1}{x\left(x^2-4\right)}$ inside the integral in factored form
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$\int\frac{1}{x\left(x+2\right)\left(x-2\right)}dx$
Learn how to solve problems step by step online. 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).
