Question

How to integrate e^(e^x). I used taylor series to find the approximation. Is there another way of solving it? Thx

Answer 1

http://integrals.wolfram.com/index.jsp?expr=e%5E%28e%5Ex%29&random=false

Answer 2

Thanks mate but what do they mean by E?

Answer 3

And how did it arrive to that answer

Answer 4

The only way I can see to integrate it is this way:

\[e^y = \sum_{n=0}^\infty \frac{y^n}{n!}\]
\[e^{e^x} = \sum_{n=0}^\infty \frac{e^{xn}}{n!}\]

now you can integrate term by term of this power series.

Answer 5

Could you please show me the whole solution?

Answer 6

Nah, there's not really unless you want to define a new function.