Let f₁:(0,∞) → ℝ and f₂:(0,∞) → ℝ be defined by f₁(x) = ∫₀ˣ ∏ⱼ₌₁²¹(t−j)ʲ dt and f₂(x) = 98(x−1)⁵⁰ − 600(x−1)⁴⁹ + 2450, x > 0. Let mᵢ and nᵢ, respectively, denote the number of points of local minima and the number of points of local maxima of fᵢ, i=1,2, in (0,∞).
The value of 2m₁+3n₁+m₁n₁ is ___.