Multiple Polylogarithms and Conformal Integrals Abstract -------- Calculating corrections of the correlation functions in N=4 SYM forms a big field in theoretical physics. While calculating the 4-point correlation function, Multiple Polylogarithms seem to be a nice way of their discribing. In my thesis, I want to use this objects for solving conformal integrals from the 4-point correlation function analytically and compare the results with the Mellin-Barnes representation of them