Final answer to the problem
Step-by-step Solution
Specify the solving method
Rewrite the fraction $\frac{y}{y^2+1}$ inside the integral as the product of two functions: $y\frac{1}{y^2+1}$
Learn how to solve integrals of rational functions problems step by step online.
$\int y\frac{1}{y^2+1}dy$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(y/(y^2+1))dy. Rewrite the fraction \frac{y}{y^2+1} inside the integral as the product of two functions: y\frac{1}{y^2+1}. We can solve the integral \int y\frac{1}{y^2+1}dy 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.