Final answer to the problem
Step-by-step Solution
Specify the solving method
Rewrite the fraction $\frac{x}{x^2+1}$ inside the integral as the product of two functions: $x\frac{1}{x^2+1}$
Learn how to solve equations problems step by step online.
$\int x\frac{1}{x^2+1}dx$
Learn how to solve equations problems step by step online. Integrate the function x/(x^2+1) from -infinity to 0. Rewrite the fraction \frac{x}{x^2+1} inside the integral as the product of two functions: x\frac{1}{x^2+1}. We can solve the integral \int x\frac{1}{x^2+1}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v.