This is a bit of a challenging problem from the 2026 Math Calendar.

“Let f be a continuous real-valued function on the reals.  For all t, f(2t) = 3 f(t) and ∫₀¹ f(t) dt = 1.

What is the value of ∫₂⁴ f(t) dt ?”

Again, the result must be a number of a day in a month.

Answer.

See Integral Challenge for a solution.