Let f : (0, ∞) → R and F(x) = _0^xtf(t)dt. If F(x^2) = x^4 + x^5, then _ r=1 ^ 12 f(r^2) is equal to...

Question

Let f : (0, ∞) → R and F(x) = _0^xtf(t)dt. If F(x^2) = x^4 + x^5, then _ r=1 ^ 12 f(r^2) is equal to __________ .

Accepted Answer

219

JEE Main 2024 Mathematics question