Syed Iftikhar Ahmad2022-05-182022-05-185082https://drepo.sdl.edu.sa/handle/20.500.14154/1963The study presents a systematic and self-contained exposition of the generalized Riemann integral in a locally compact Hausdorff space, and shows that it is equivalent to the Perron and variational integrals. It also gives a necessary and sufficient condition for its equivalence to the Lebesgue integral with respect to a suitably chosen measure.enThesis