Answer the following problems with complete solution.

Find the moment of inertia of the area bounded by the parabolay = 4x, x-axis, and the line x=1, with respect to the x-axis.Find the centroid of the region bounded by the curves y = x2 and y = 2x + 3 using horizontal strip. Find the centroid of the first quadrant region bounded by the curvirey2 = 4x, the x axis, and the lines x=1 and x=4 using vertical strip