Exercise 6. The graph of a function f(x) is given. Using the geometry of the graph,...
Use geometry to evaluate the following definite integrals, where the graph of f is given in the figure. LLLLL y=f(x) 1 1 2 3 4 5 6 7 8 x | f(x)dx
6. (6 pts) (x)-4-2x on [0,4] a. b. Sketch the function on the given interval. Approximate the net area bounded by the graph of f and the x-axis on the interval using a left, right, and midpoint Riemann sum with n-4 c. Use the sketch in part (a) to show which intervals of [a,b] make positive and negative contributions to the net area. (4 pts Use geometry (not Riemann sums) to evaluate the following definite integrals Sketch a graph of...
(1 point) Using Properties of Definite Integrals. Given S f(x) fo dx = 0 and f(x) dx = 6 evaluate (a) f(x) dx = (b) f(x) dx - Liro f(x) dx = (c) L.ro 3f(x) dx = (d) $350 38(x) dx Note: You can earn partial credit on this problem. Preview Mv Answers Submit Answers 19
(1 point) 18.9 9,9 53,1 A graph of f is shown above. The numbers shown represent the geometric area of each region. Evaluate the following definite integrals. a) $' f(x) dx = -53.1 I! b) f(x) dx = -43.2 f(x) dx = -24.3 o al 2f(x) dx = 24.2
Please show al work 1. (6pts) Given ( f(z)dx = 31 and ( f(z)dx = -11, evaluate using properties of definite integrals: a) ['f(z)dx = b) [ f()dx = c) ["-2f(x)dx =
The graph of the function f(x)=9-x?is given below. Which of the following definite integrals yields the area of the shaded region? 8 5 4 3 2 -5 -4 -3 1 2 3 4 5 X *P(x-6) J xp(23-6) xp(<7-03) »p(x-on »p«.
Given the graph of f(t), below, compute the indicated definite integrals. (4,2) 3 4 5 6 (a) ["f(x) dx (b) ſs(e) de (e) $* $(x) dx (a) [5(e) de
Given the function graphed below, evaluate the definite integrals. 4 3 2 1 -1 1 2 3 4 5 -] - 6 -3 7 f(x)dx = Preview 5 sm)dor = Preview
Given the function graphed below, evaluate the definite integrals. 4 3 2 1 2 3 4 5 6 7 8 -2 -3 -4 Preview [ f(z)dx = [ f(a)dx = Preview
(1 point) Let [ f(z)dx=-13, 5° f(x) dx = 3, $*g(x) dx = 6, §*9(a) dx = 1, J2 Use these values to evaluate the given definite integrals. a) ["{$(2) + 9()) dx = 6 .) – g(x)) dx = * (31(2) + 29(2) de = (af(x) + g()) dc = 0. d) Find the value a such that a=