Integral Help (Last problem of the night!!)

[MrCodeDude]

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

 

[Heisenberg]

Ugh, I hated those. Are you supposed to do a trig substitution or something?

 

[BigJ]

isnt that the same as 4 * the integral of (4x^2 + 4x + 65)^-1

 

[crt1530]

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.

 

[MrCodeDude]

NM, I get it.

Thanks BigJ