# Integral (4/(x^2+4))2

find the integral:

integral (4/(x^2+4))2

Ill use S for my integral
So what i did so far is move the 4^2 out of the integral and get this:

16 S 1/(x^2+4)^2

I tried using partial fractions but got nothing. im not sure what to do. So far all I have learned was U sub, integral by parts, partial fractions, and trig substitution.

Would trig substitution work?
if i make x=2tan (theta)

or is there another method i haven't seen yet.

rock.freak667
Homework Helper

Yes that substitution will work well. Try it and remember your trig identities.

the answer i got when i did it was:

.5archtan(x/2) +x(x^2+4) + C

is that what you guys got?
dx= 2sec^2(theta)

rock.freak667
Homework Helper

the answer i got when i did it was:

.5archtan(x/2) +x(x^2+4) + C

is that what you guys got?
dx= 2sec^2(theta)

Your first term is correct, where did you get the x(x2+4) term from?

that came from the 2nd half of the equation