Question

The area of the region enclosed by the curves y = x log x and y = 2x - 2x² is \(\frac ab\) sq. units, then value of b – a is ____.

Answer 1

Given,

y = x log x

y = 2x - 2x²

Representation of curves, as shown:

Required area = shaded region in the diagram between 0 and 1(area enclosed = upper curve - lower curve)

a = 7

b = 12

\(\therefore\) b - a = 12 - 7 

= 5