Please show al work 1. (6pts) Given ( f(z)dx = 31 and ( f(z)dx = -11,...
Please show solution steps. Thanks! 11. Give the values of the definite integrals: 1., (x) dx = 12, 1,8(x) dx = -6, 5, 8(x) dx = 24 find: |.[2f(x) + 4g(x)] dx = b) {**$(x) dx = — c) | ,8(x) dx = 12. (8 pts.) The graph of f'(x) is given. Identify the following properties for f(x). YA y= f'(x) far a) What are the x-values of the critical numbers on the graph: b) Make a sign chart for...
(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=
(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
Exercise 6. The graph of a function f(x) is given. Using the geometry of the graph, evaluate the definite integrals. - 1 2 3 4 51 $*(dx los pcdx S'f(x)dx les srcade (o) f(x)dx 19 P-2f(x)dx
(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 all steps & work, thanks! 1. Use the given graph of y = f(x) to evaluate the following definite integrals, y = f(x) --4 a. -3 --2 L. f(a) de 5. Lflz) di « ["ra) de 1. (536) di 1 -3 -1 2 3 4 -1 -2 -3
(3 points) Let $*fdx = 5, $*f6wdx=-11, 6 s6wdx= 11, $* sco) dx = 4, Use these values to evaluate the given definite integrals. 2 a) / (f(x) + g(x)) dx = b) fºr(x) = g(x) dx = on f* 3F() +29(e) dx = d) Find the value a such that / (af(x) + g(x)) dx = 0. a =
This chapter covers anti-derivatives, definite integrals, and applications in Calculus. Please show all work and circle all final answers. Use correct limit notation and include units when applicable. Use the graph of f(x) given below to find the following. Give exact answers, not decimal approximations. f(x)dx -2 -3 -2 ol 6 10 11 12
Use the properties of the definite integral in your solutions. 1. Suppose that [*r(e)dx = 5, [° f(a)dx = -3, [*9(a)dx = -1, and ſº o(e)dx = 2. Evaluate Jo each of the following definite integrals. (a) %* ((e)+ 9(e) de (b) [" (F(*) + 9(a) do (e) ſ (sca) – ola) de (a) " (45(e) – 39(a) de
Evaluate the following indefinite integrals. Show your work please! a) ∫ tan^3 4x dx b) ∫ sec^4 3x dx