Assignment:
For every one-dimensional set C for which the integral exists, let Q(C) = ∫c f(x) dx , where f(x) = 6x(1 – x) , 0 < x < 1, zero elsewhere, otherwise let Q(C) be undefined. If C1 = { x : ¼ < x < ¾ } , C2 = {1/2}, C3 = {x: 0 < x < 10}. Find Q(C1), Q(C2) and Q(C3).
Provide complete and step by step solution for the question and show calculations and use formulas.