Integral Value Interval (Jee Mains) | ExamDuo
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Definite Integration Properties
Medium
Integral Value Interval
Let
g
(
x
)
=
x
∫
0
f
(
t
)
d
t
, where
f
is continuous function in
[
0
,
3
]
such that
1
3
≤
f
(
t
)
≤
1
for all
t
∈
[
0
,
1
]
and
0
≤
f
(
t
)
≤
1
2
for all
t
∈
(
1
,
3
]
. The largest possible interval in which
g
(
3
)
lies is
Ask about this question
SELECT ONE OPTION
A
[
−
1
,
−
1
2
]
B
[
−
3
2
,
−
1
]
C
[
1
3
,
2
]
D
[
1
,
3
]
Check