Exercise
$\int_0^{\infty}\frac{k}{3x+1}-\frac{2x}{x^2+1}dx$
Step-by-step Solution
Learn how to solve improper integrals problems step by step online. Integrate the function k/(3x+1)+(-2x)/(x^2+1) from 0 to infinity. Simplify the expression. The integral \int\frac{k}{3x+1}dx results in: \frac{1}{3}k\ln\left(3x+1\right). The integral -2\int\frac{x}{x^2+1}dx results in: -\ln\left(x^2+1\right). Gather the results of all integrals.
Integrate the function k/(3x+1)+(-2x)/(x^2+1) from 0 to infinity
Final answer to the exercise
The integral diverges.