JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

Let

T>0

be a fixed real number. Suppose

f

is a continuous function such that

f(x+T)=f(x)

for all

x \in R

. If

I=\int_0^T f(x) d x

, then the value of

\int_3^{3+3 T} f(2 x) d x

, is

View answer and explanation

Correct option: C

3I

Option C (

3I

) is correct because the integral

\int_3^{3+3T} f(2x) dx

simplifies to

3I

using the periodicity of the function

f(x)

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