Functional equation integral computation

1800SpecialistCalculusFunctions

Harvard-MIT Math Tournament

A continuous real function $f$ satisfies the identity $f(2x) = 3f(x)$ for all $x$. If $\int_{0}^{1} f(x) dx = 1$, what is $\int_{1}^{2} f(x) dx$?

0 students attempted0% solvedRating 1800

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1800SpecialistCalculusFunctions

Harvard-MIT Math Tournament

A continuous real function $f$ satisfies the identity $f(2x) = 3f(x)$ for all $x$. If $\int_{0}^{1} f(x) dx = 1$, what is $\int_{1}^{2} f(x) dx$?

0 students attempted0% solvedRating 1800