I was given this problem in a calculus class many years ago. The teacher didn't have the answer and I am still looking.
$\int(1+x)^{e^x}dx$
I was given this problem in a calculus class many years ago. The teacher didn't have the answer and I am still looking.
$\int(1+x)^{e^x}dx$
Wolfram Alpha says the following:
http://www.wolframalpha.com/input/?i=integrate+%281%2Bx%29%5Ee%5Ex
In my opinion that integral cannot be expressed by elementary functions.
According to Maple solution is given by expression:
$x\cdot _2F_1(1,-e^{-x};2;-x)$, where
$_2F_1(1,-e^{-x};2;-x)$ is Hypergeometric_function