Exercise
$\int\frac{10x+1}{4x^2-1}dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int((10x+1)/(4x^2-1))dx. Expand the fraction \frac{10x+1}{4x^2-1} into 2 simpler fractions with common denominator 4x^2-1. Simplify the expression. The integral 10\int\frac{x}{4x^2-1}dx results in: \frac{5}{4}\ln\left(2x+1\right)+\frac{5}{4}\ln\left(2x-1\right). Gather the results of all integrals.
Find the integral int((10x+1)/(4x^2-1))dx
Final answer to the exercise
$\frac{3}{2}\ln\left|2x-1\right|+\ln\left|2x+1\right|+C_0$