Question

Integral of (1/t)(cos3t)

Answer 1

sorry i left you there...
ok so cos(3t) is in numerator and t in denominator ?

in that case:
you have to use integration by parts a couple times

\[\int\limits_{}^{}u *dv = uv - \int\limits_{}^{} v *du\]
let
u = cos(3t) dv = 1/t
du = -3sin(3t) v = ln(t)

Answer 2

i apologize again, i didn't work all the way through the problem .... doing it this way leads nowhere

this indefinite integral can't be done algebraically
http://www.wolframalpha.com/input/?i=integrate+cos%283t%29%2Ft+dt