In this work, the existence of a unique solution of Fredholm-Volterra integral equation (F-VIE) of the second kind is discussed in the space    The Fredholm integral (FI) term is considered in position with Cauchy kernel (CK), while the Volterra integral (VI) term is considered in time with continuous kernel. Series method is used to obtain two different systems of IEs. The first  system represents three VIEs of the second kind with continuous kernels, while the second represents FIE of the second kind with discontinuous kernel. The solution of FIE is obtained using Legendre polynomials. The relation between the contact problem and the integral equation is also investigated.