Let $T
eq 0$ be a fixed number suppose $f$ is a continuous function such that for all $x \in R,\ f(x + T) = f(x).$ If $I = \int_{0}^{T}{f(x)dx,}$ then the value of $\int_{3}^{3 + 3T}{f(2x)dx}$ is

Question

Let $T 
eq 0$ be a fixed number suppose $f$ is a continuous function such that for all $x \in R,\ f(x + T) = f(x).$ If $I = \int_{0}^{T}{f(x)dx,}$ then the value of $\int_{3}^{3 + 3T}{f(2x)dx}$ is

Dr. Abubacker · Accepted Answer

The correct answer is Option C: $3I$.

Q. Let $T \neq 0$ be a fixed number suppose $f$ is a continuous function such that for all $x \in R,\ f(x + T) = f(x).$ If $I = \int_{0}^{T}{f(x)dx,}$ then the value of $\int_{3}^{3 + 3T}{f(2x)dx}$ is

Explanation

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