The positron-hydrogen collision problem has been investigated using an integral form of the close-coupling approximation for a wider range of energies. The present formalism takes care of the rearrangement channel. The effects of the excited states of both the hydrogen and positronium atoms have been neglected. The elastic and the positronium-formation cross sections have been obtained explicitly in the energy region 0-200 eV. Because the integral form was used, the two-state results are reliable. The present results differ from the first Born results even at 200 eV.