JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

Let

g(x)=\int_0^x f(t) d t

, where

f

is such that

\frac{1}{2} \leq f(t) \leq 1

for

t \in[0,1]

and,

0 \leq f(t) \leq \frac{1}{2}

for

t \in[1,2]

Then,

g(2)

satisfies the inequality,

View answer and explanation

Correct option: B

0 \le g(2) < 2

Option B (

0 \le g(2) < 2

) is correct because it is the range that

g(2)

satisfies based on the given inequalities for

f(t)

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