If a region is bounded by x = 2y - y2 , and x = 0, find the definite integral that will compute for the moment with respect to y-axis. Select the correct response: O J v( zy - 2 jay OFind the double integral that will compute for the area of the region bounded by x = 5 - Zy, x = -| and y = x3 + 1 Select the correct response: dydx 5-1 2 dydx My+I dady 5-2y 5-T 2 dydx dydx 5-2 2 Vy-1 dxdy 5-2yFind the definite integral that will compute for the area of the region bounded by y = 2 In x , y = 0, and x = 4. Select the correct response: 0 2 In r dx O In xdx -2 In 4 0 2 In xdx o O (4 - In - )dy (4 - In - )dy 2If a region is bounded by y = ex, y = 0, x = -1, and x = 2 , find the definite integral that will compute for the moment with respect to x-axis. Select the correct response: e -2x dx -1 2 re *dx O NIH - 1 e -2y dy NIH O