(1) Consider the following function defined by cases: -1 if2

(1) Consider the following function defined by cases: 2 if 3 < T < 15 -F 2 if 15 Prove that the function is Riemann integrable over [2, 15] and compute its integral 1215 You can reference any theorem proven in my CineMath Lectures. (2) Find an increasing function f, and the interval [a, b], such that 20 20 10]. (3) [Extra Credit: 10 points] Compute the following sum in terms of n: 1