Question

in calculus we cannot solver for a anti derivative of e^cos(x)
but is there any other impossible anti derivatives?

Answer 1

\[\int_0^xe^{\cos(t)}dt\] would be an anti derivative

Answer 2

nothin's "impossible" :) but you may not be able to find a closed for for
\[\int f(x) \text{d}x\]

Answer 3

Sorry, the first for should be form

Answer 4

XD i dont think many more exist except like 5

Answer 5

5 what?

Answer 6

Would you consider
\[\huge \int e^{x^2} \text{d} x\]
to be integrable by regular methods (i.e. substitution, by-parts,...)?