JEE Advance - Mathematics (2002 - No. 4)
Let $$T>0$$ be a fixed real number . Suppose $$f$$ is a continuous
function such that for all $$x \in R$$, $$f\left( {x + T} \right) = f\left( x \right)$$.
function such that for all $$x \in R$$, $$f\left( {x + T} \right) = f\left( x \right)$$.
If $$I = \int\limits_0^T {f\left( x \right)dx} $$ then the value of $$\int\limits_3^{3 + 3T} {f\left( {2x} \right)dx} $$ is
$$3/2I$$
$$2I$$
$$3I$$
$$6I$$