* Reading Outline, Sec5.4 * ---------------------------------------- * Vocabulary/Definitions * - [int]_3^1 f(x) dx = (the integral of f(x) dx from 3 to 1 =) - [int]_1^4 f(x) dx + [int]_4^8 f(x) dx = - [int]_a^b f(x) + g(x) dx = - [int]_a^b c f(x) dx = - If M bounds f from above, then... - If m bounds f from below, then... - How can M and m be used to give limits on the size of integrals? * Understand * 1. If [int]_a^b f(x) dx = 3 and [int]_a^b g(x) dx = 7, find [int]_b^a 3 f(x) - g(x) dx. 2. Use the Fundamental Theorem of Calculus to find [int]_1^4 3x^2 dx. 3. Find an upper and lower bound for f(x) = x^x on the interval 1<=x<=3. Give upper and lower bounds for [int]_1^3 x^x dx.