Question

I need some help, what is the integral of

(e^.2t)/(4+e^.2t)

Thank you in advance!

Answer 1

the top is practically the derivative of the bottom ... what rule does that follow?

Answer 2

or if a u sub is more up your alley ... let u = the denominator and work out the subsitutions

Answer 3

so if you take the u subsitutation is the denominator the du is just the top. So the answer would be 1/e^.2t?

Answer 4

let u = 4+e^.2t
du = .2 e^.2t dt
du/.2 = e^.2t dt

\[\int\frac{1}{.2}\frac{du}{u}\]

Answer 5

ln(4+e^.2t)/.2 + C is what im lookng at