Exercise
$\int_0^1\left(\frac{x}{\left(x-2\right)\left(x-4\right)}\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Integrate the function x/((x-2)(x-4)) from 0 to 1. Rewrite the fraction \frac{x}{\left(x-2\right)\left(x-4\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int_{0}^{1}\left(\frac{-1}{x-2}+\frac{2}{x-4}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{1}\frac{-1}{x-2}dx results in: undefined. The integral \int_{0}^{1}\frac{2}{x-4}dx results in: undefined.
Integrate the function x/((x-2)(x-4)) from 0 to 1
Final answer to the exercise
The integral diverges.