Let where , if the area of the origin bounded by the curves , -axis, and is then…

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

Problem

Let

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

where

0 \leq x \leq 1

, if the area of the origin bounded by the curves

y = f(x)

x

-axis,

x = 0

and

x = 1

\frac{p}{q}

then

p + q