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- 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
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Rewrite the expression $\frac{x^2+1}{x^3-6x^2+12x-8}$ inside the integral in factored form
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\int\frac{x^2+1}{\left(x-2\right)^{3}}dx$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((x^2+1)/(x^3-6x^212x+-8))dx. Rewrite the expression \frac{x^2+1}{x^3-6x^2+12x-8} inside the integral in factored form. Rewrite the fraction \frac{x^2+1}{\left(x-2\right)^{3}} in 3 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{1}{x-2}+\frac{4}{\left(x-2\right)^{2}}+\frac{5}{\left(x-2\right)^{3}}\right)dx into 3 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).