Let , where . Determine the area of the region bounded by the curves , -axis, and .…

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

Problem

Let

f(x) = \text{max} \{x^2, (1-x)^2, 2x(1-x)\}

, where

0 \le x \le 1

. Determine the area of the region bounded by the curves

y = f(x)

X

-axis,

x=0

and

x=1

. [IIT JEE 1997]