JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

Let

f: R \rightarrow R

be a continuous function which satisfies

f(2 x)=3 f(x) \,\forall \,x \in R

. If

\int\limits_{0}^1 f(x) d x=1

, then find the value of

\frac{1}{2} \int\limits_{1}^2 f(x) d x

View answer and explanation

Correct option: A

2.5

Option A (2.5) is correct because using the given functional equation and integral property, we can find the value of the required integral.

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