JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Understanding +4 | -1

Let

f

be a continuous function

[a, b]

such that

f(x) > 0

for all

x \in[a, b]

. If

F(x)=\int\limits_{a}^x f(t) \mathrm{d} t

then

View answer and explanation

Correct option: B

F

is differentiable and increasing on

[a, b]

Option B (

F

is differentiable and increasing on

[a, b]

) is correct because

F'(x) = f(x) > 0

[a, b]

, which means

F

is increasing and differentiable.

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