Integral Help (Last problem of the night!!)

MrCodeDude

Lifer
Jun 23, 2001
13,674
1
76
integral of:

4 / ( 4x^2 + 4x + 65)

What do I do? I tried adding and subtracting 8x and then splitting the integrals, but that didn't help :(
 

crt1530

Diamond Member
Apr 15, 2001
3,198
0
0
4 / ( 4x^2 + 4x + 65) = 4 / ( 4x^2 + 4x + 64 + 1) = 4 / ( (2x + 1)^2 + 64 ) = 4 / ( a^2 + b^2) = something you should know how to integrate.
 

ASK THE COMMUNITY