The curves and intersect at two points

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Integrals · Applications of Integrals

Problem

The curves

y = x^{2} - 2

and

y = 2x - x^{2}

intersect at two points. Determine the common

y

-coordinate values of these intersection points; these values serve as the limits of a single definite integral with respect to

y

for the area enclosed by the curves.