The area (in sq. units) of the region bounded by the parabola, y = x 2 + 2 and the lines, y = x + 1 ,   x = 0 and x = 3 , is

Question

The area (in sq. units) of the region bounded by the parabola, y = x 2 + 2 and the lines, y = x + 1 , &#160; x = 0 and x = 3 , is

Aicharya · Accepted Answer

Area of region A B C D A = &#8747; 0 3 x 2 + 2 - x + 1 d x = &#8747; 0 3 x 2 - x + 1 d x = x 3 3 - x 2 2 + x 0 3 = 27 3 - 9 2 + 3 = 12 - 9 2 = 15 2

The area (in sq. units) of the region bounded by the parabola, y = x 2 + 2 and the lines, y = x + 1 ,  …