Learn how to solve problems step by step online. Integrate the function 9/(x^2-2x+-99) from 0 to 4. Rewrite the expression \frac{9}{x^2-2x-99} inside the integral in factored form. Rewrite the fraction \frac{9}{\left(x+9\right)\left(x-11\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int_{0}^{4}\left(\frac{-9}{20\left(x+9\right)}+\frac{9}{20\left(x-11\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{4}\frac{-9}{20\left(x+9\right)}dx results in: -\frac{9}{20}\ln\left(13\right)+\frac{9}{20}\ln\left(9\right).

Integrate the function 9/(x^2-2x+-99) from 0 to 4