# Improper Integral Confusion

## Homework Statement

$$\int(2dx/(x^2+4)$$
from x= -$$\infty$$ to x=2

## Homework Equations

No specific ones.

## The Attempt at a Solution

So, from there I tried to split the integral into two, integrating between 2 and -2, and -2 and -$$\infty$$, but I got very lost trying to take the limits for these, partly because I don't know what to set as the approaching variables in each case. And integrating the function actually is another issue. Could someone take a look?

Last edited:

$$\int \frac{1}{x^2+4} \neq lnG(x)$$