If and (where

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

Problem

f(x) = \begin{cases} \sqrt{x}, & x \notin \mathbb{Z} \\ 1, & x \in \mathbb{Z} \end{cases}

and

g(x) = \{x\}^2

(where,

\{ \cdot \}

denotes fractional part of

x

), then the area bounded by

f(x)

and

g(x)

for

x \in [0, 10]

is (1)

\frac{5}{3}

sq units (2) 5 sq units (3)

\frac{10}{3}

sq units (4) None of these