Question

Find an antiderivative of f(x)=e^(x+e^x). Answer: e^e^x.

Answer 1

rewrite as \[\large e^{x+e^x}=e^xe^{e^x}\]and let \(u=e^x\)

Answer 2

And then?

Answer 3

and then if you can see the right u-sub it's very straightforward
using my substitution, what is \(du\) ?

Answer 4

e^x dx?

Answer 5

Hi, sweetie, "antiderivative" means integral

Answer 6

right, so make the u-substitutions and what do you get?

Answer 7

e^e^x...

Answer 8

sub u=e^x

Answer 9

du=e^xdx

Answer 10

Got it.

Answer 11

Got it.

Answer 12

:)