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- Integrate by partial fractions
- Integrate by substitution
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- Integrate using tabular integration
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- Weierstrass Substitution
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- Integrate using basic integrals
- Product of Binomials with Common Term
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Rewrite the fraction $\frac{4x+12}{\left(x-2\right)\left(x^2+4x+8\right)}$ in $2$ simpler fractions using partial fraction decomposition
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\frac{1}{x-2}+\frac{-x-2}{x^2+4x+8}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((4x+12)/((x-2)(x^2+4x+8)))dx. Rewrite the fraction \frac{4x+12}{\left(x-2\right)\left(x^2+4x+8\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{1}{x-2}+\frac{-x-2}{x^2+4x+8}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{x-2}dx results in: \ln\left(x-2\right). The integral \int\frac{-x-2}{x^2+4x+8}dx results in: -\frac{1}{2}\ln\left(x^2+4x+8\right).
