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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 $\frac{2x}{x^2-8x+12}$ inside the integral in factored form
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$\int_{2}^{5}\frac{2x}{\left(x-2\right)\left(x-6\right)}dx$
Learn how to solve problems step by step online. Integrate the function (2x)/(x^2-8x+12) from 2 to 5. Rewrite the expression \frac{2x}{x^2-8x+12} inside the integral in factored form. Take out the constant 2 from the integral. Rewrite the fraction \frac{x}{\left(x-2\right)\left(x-6\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{-1}{2\left(x-2\right)}+\frac{3}{2\left(x-6\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.
