The curves and intersect at two distinct points

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The curves

y=x^{2}

and

y=2x+3

intersect at two distinct points. (i) Find the coordinates of the points of intersection. (ii) Using integration with respect to

x

, determine the area of the region enclosed by the two curves. (iii) Using integration with respect to

y

, determine the same area. (iv) Verify that the answers obtained in parts (ii) and (iii) are identical.