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Problems
If
f
(
x
)
=
{
x
,
x
∉
Z
1
,
x
∈
Z
f(x) = \begin{cases} \sqrt{x}, & x \notin \mathbb{Z} \\ 1, & x \in \mathbb{Z} \end{cases}
f
(
x
)
=
{
x
,
1
,
x
∈
/
Z
x
∈
Z
…
Mathematics
Problem
If
f
(
x
)
=
{
x
,
x
∉
Z
1
,
x
∈
Z
f(x) = \begin{cases} \sqrt{x}, & x \notin \mathbb{Z} \\ 1, & x \in \mathbb{Z} \end{cases}
f
(
x
)
=
{
x
,
1
,
x
∈
/
Z
x
∈
Z
and
g
(
x
)
=
{
x
}
2
g(x) = \{x\}^2
g
(
x
)
=
{
x
}
2
(where,
{
⋅
}
\{ \cdot \}
{
⋅
}
denotes fractional part of
x
x
x
), then the area bounded by
f
(
x
)
f(x)
f
(
x
)
and
g
(
x
)
g(x)
g
(
x
)
for
x
∈
[
0
,
10
]
x \in [0, 10]
x
∈
[
0
,
10
]
is a.
5
3
\frac{5}{3}
3
5
sq units b. 5 sq units c.
10
3
\frac{10}{3}
3
10
sq units d. None of these
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