# Homework Help: Need Integral Help!

1. Jun 23, 2008

### tmclary

1. The problem statement, all variables and given/known data

Integrate the indefinite integral of 1/((4x^2)+(4x)+5)

2. Relevant equations

3. The attempt at a solution

2. Jun 23, 2008

### Hootenanny

Staff Emeritus
I assume you mean find the indefinite integral. You also forgot to fill in the following two sections, in particular the final one:

3. Jun 23, 2008

### tmclary

Sorry, I have no clue how to get started. The denominator won't factor (at least to linear factors w/ integral coefficients) and the discriminant is complex anyway. So if it's a partial fraction type solution, how do you get started? Thanks.

4. Jun 23, 2008

### Defennder

Try completing the square of the denominator.

5. Jun 23, 2008

### tmclary

So 1/(4x^2)+4x+5 =1/((2x+1)^2)+4 and I make a u-sub. Looks like tan^-1 type integral. Correct?

6. Jun 23, 2008

### Hootenanny

Staff Emeritus
Looks good to me . Choose your substitution carefully.

7. Jun 23, 2008

### tmclary

Thanks for your help, Def & Hoot!

8. Jun 23, 2008

### Hootenanny

Staff Emeritus
A pleasure

9. Jun 24, 2008

### m_s_a

http://www.4nw.net/s_thumbnailer-6-2008/hb6z6g1g.JPG [Broken]

Last edited by a moderator: May 3, 2017