If and , then the area bounded by and the curve is equal…

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

Problem

f(x)=x-1

and

g(x)=|f(|x|)-2|

, then the area bounded by

y=g(x)

and the curve

x^2-4y+8=0

is equal to (1)

\frac{4}{3}(4\sqrt{2}-5)

(2)

\frac{8}{3}(4\sqrt{2}-3)

(3)

\frac{4}{3}(4\sqrt{2}-3)

(4)

\frac{8}{3}(4\sqrt{2}-5)