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todayamp;#39;s video is on integration using residues and in this video weamp;#39;ll explore so small steps to help you navigate the solution for the most important question and this video is going to be exceptionally well for your easy preparation and letamp;#39;s get started with the problem flashing in front of us so todayamp;#39;s topic is so using method of Contour integration we have to evaluate integral 0 to Infinity log X by x + 1 into DX so this is the problem and see here we have to consider the integral that is integral C log Z by 1 + z s DZ is equal to integral c f of Z into DZ so here the variable X is transformed to zed and C this is C and C is the Contour consisting of so C is the Contour consisting of first thing is the real axis from small R to capital r so the starting point from small R to capital r and the next one is the upper half CR so CR is nothing but a semicircle with Center Z and radius R so this is the upper half of the circle second one is the upper ha