Question

evaluate the integral (36dx/36+e^x)

Answer 1

k * integrate (k+e^x)^(-1)

have you tried by parts?

Answer 2

ln(k+e^x)

e^x+k-k k
--------- = 1 - -----
k+e^x k+e^x

so if we add 1 and subtract 1, we should be able to work this

Answer 3

\[\int\limits \frac{ 36 dx }{ 36+e^x }=\int\limits \frac{ 36+e^x-e^x }{ 36+e^x }dx=\int\limits 1dx-\int\limits \frac{ e^x }{ 36+e^x } dx=?\]