Q: (a) Differentiate the integral from 1 to x of t^3 dt. (b) Evaluate the integral from 0 to 2 of 3x^2 dx. (a) By Part 1: the derivative is x^3 directly - no integration needed! (b) By Part 2: antiderivative x^3, evaluate: 2^3 - 0^3 = 8.