The area of the region bounded by the curves , ,

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Integrals · Applications of Integrals

Problem

The area of the region bounded by the curves

y=2^x

y=2x-x^2

x=0

, and

x=2

is: (1)

\frac{3}{\log 2}-\frac{4}{3}

(2)

\frac{3}{\log 2}+\frac{4}{3}

(3)

3\log 2-\frac{4}{3}

(4) None of these