* Reading Outline, Sec5.3 * ---------------------------------------- * Vocabulary/Definitions * - Interpreting integrals as sums and the meaning of f(t) dt - The Fundamental Theorem of Calculus - The average value of f(x) between x=a and x=b - The geometric interpretation of the average value of a function * Understand * 1. If F(0) = 3 and F'(x) = sin(x^2), use your calculator and the Fundamental Theorem of Calculus to estimate F(1). 2. If the rate of rainfall is given by r(t) cm/hr, with t being the number of hours since the start of the rainstorm, write an integral that gives the depth of water in a rain gage 4 hours after the onset of the storm.