1) Evaluate the following definite integral using FTC1. 5 x- + 4x dx 3 2) Suppose we know I f(x) dx = 13, fo f(x) dx = 30 and Lag(x) dx = -2. Evaluate: a. [ f(x)dx b. f5 10f (x) - g(x) dx 3) The value of a rare gem, V, is worth $225 in 1975 and increases at 15% per year. Its value in dollars : years after 1975 is given by V = 225(1.15)* Setup (but don't evaluate) the integral that finds the average value of the lamp over the period 1975-2022