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- Integrate by partial fractions
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Rewrite the expression $\frac{2}{x^2+9x+20}$ inside the integral in factored form
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$\int\frac{2}{\left(x+4\right)\left(x+5\right)}dx$
Learn how to solve problems step by step online. Integrate the function 2/(x^2+9x+20) from 1 to infinity. Rewrite the expression \frac{2}{x^2+9x+20} inside the integral in factored form. Rewrite the fraction \frac{2}{\left(x+4\right)\left(x+5\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{2}{x+4}+\frac{-2}{x+5}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{2}{x+4}dx results in: 2\ln\left(x+4\right).
