# Can i get some help with this integral

1. Feb 15, 2006

### johnnyboy2005

from negative infinity to infinity (1/ 4x^2 + 4x +5) dx

is there a way to simplify with partial fracitons or should i do something else? thanks for the help.

2. Feb 15, 2006

### chroot

Staff Emeritus
Do you mean:

$\int_{ - \infty }^\infty {\left[ {\frac{1} {{4x^2 }} + 4x + 5} \right]} \,dx$

or

$\int_{ - \infty }^\infty {\left[ {\frac{1} {{4x^2 + 4x + 5}}} \right]\,dx}$

If you meant the first, you can perform integration on each term independently, and add the resulting terms.

If you meant the second, you should look at an integral table, and find those dealing with arctangents.

http://functions.wolfram.com/ElementaryFunctions/ArcTan/07/01/01/

- Warren

3. Feb 15, 2006

### arildno

Complete the square, if the second option is the right one.