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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 $\frac{2x^3-7x^2+2x-16}{x\left(x+2\right)\left(x^2+4\right)}$ in $3$ simpler fractions using partial fraction decomposition
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\frac{-2}{x}+\frac{4}{x+2}+\frac{-3}{x^2+4}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((2x^3-7x^22x+-16)/(x(x+2)(x^2+4)))dx. Rewrite the fraction \frac{2x^3-7x^2+2x-16}{x\left(x+2\right)\left(x^2+4\right)} in 3 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{-2}{x}+\frac{4}{x+2}+\frac{-3}{x^2+4}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{-2}{x}dx results in: -2\ln\left(x\right). The integral \int\frac{4}{x+2}dx results in: 4\ln\left(x+2\right).