In this article, we investigate some standard geometric properties of the integral operators \(\begin{aligned} J_\alpha [f](z)= \int _{0}^{z}\bigg (\frac{f(w)}{w}\bigg )^\alpha dw, \,\,\, \alpha \in \mathbb {C} \text { and } |z|<1, \end{aligned}\) and \(\begin{aligned} I_\beta [g](z)= \int _{0}^{z}\big (g'(w)\big )^\beta dw, \,\,\, \beta \in \mathbb {C} \text { and } |z|<1, \end{aligned}\) where f and g are elements of certain classical families of normalized analytic functions defined on the unit disk. In particular, preserving properties of the Hornich sum of the operators \(J_\alpha \) and \(I_\beta \) will be studied. Moreover, we also present a sharp pre-Schwarzian norm estimate of such integrals.
