Integral of an Unknown Function
Calculus
Level
3
Let \(f(x)\) be a real-valued function continuous on \(\left[0,2\right]\) such that \(f(x)=f(2x)\) for all \(x\). If
\[\int_0^1 f(x) dx = 100,\]
then what is the value of
\[\int_0^2 f(x)dx ?\]
by
Logan Dymond