5. (a) Calculate the area of the region R enclosed between the parabola y = x2...

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5. (a) Calculate the area of the region R enclosed between the parabola y = x2 and the line y = x +1. (b) Find the volume under the surface z = x³ +x?y and over the rectangle R = {(x, y) : 2 < x < 4,0 < y < 3}. 5. (a) Calculate the area of the region R enclosed between the parabola y = x2 and the line y = x +1. (b) Find the volume under the surface z = x³ +x?y and over the rectangle R = {(x, y) : 2 < x < 4,0 < y < 3}.