some integrals

[tommy1729]

consider 4 meromorphic functions

f(x) , g(x) , a(x) and b(x).


integral 0 1 [ f( integral 0 1 g(x) dx ) ] dx = integral 0 1 [ a( integral 0 1 b(x) dx ) ] dx

integral g(x) dx has no closed form.

let integral g(x) dx be G(x).

then integral f( G(x) ) has no closed form , not even when using G(x).

how do these f(x) , g(x) , a(x) and b(x) relate ?

regards