Final answer to the problem
Step-by-step Solution
Specify the solving method
Expand the fraction $\frac{3-x}{2x+1}$ into $2$ simpler fractions with common denominator $2x+1$
Learn how to solve problems step by step online.
$\int\left(\frac{3}{2x+1}+\frac{-x}{2x+1}\right)dx$
Learn how to solve problems step by step online. Find the integral int((3-x)/(2x+1))dx. Expand the fraction \frac{3-x}{2x+1} into 2 simpler fractions with common denominator 2x+1. Simplify the expression inside the integral. Rewrite the fraction \frac{x}{2x+1} inside the integral as the product of two functions: x\frac{1}{2x+1}. We can solve the integral \int x\frac{1}{2x+1}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.