The planar limit of integrated 4-point functions

We compute the planar limit, as all-order power series in 't Hooft coupling, of various integrated 4-point functions chiral primary operators ${\cal N}=4$ SU(N) super Yang-Mills, and moment map N}=2$ SQCD. do so by computing free energy on $S^4$ respective massive deformations these theories, then taking advantage exact relation between energies functions.