Can i get some help with this integral

[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.

 

[chroot]

Do you mean:

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

or

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

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

 

[arildno]

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