4. Given the integrals, [° 8(x) dx =-7, 5*8(x)dx = 6 and 5*g(x) dx = 10,...
g(x)dx = 5, find the following Problem 4 (12 points). Given ( g(x)dx = 10 and integrals: (a) [(39(x) + 5x)dx (b) ["o() der
8.2 Suppose that ,* f(x) dx = 6, 8* g(x) dx = 4, and S f(x) dx = 2. Evaluate the following integrals: a. -S2f(x) dx (2 Marks) b. Si(3f(x) – 2g(x)) dx (2 Marks) c. $*f(x)g(x) dx (2 Marks) d. S@dx (2 Marks) [Sub Total 20 Marks]
(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=
a. 8.2 Suppose that S* f(x) dx = 6, 5+ g(x) dx = 4, and Sf(x) dx = 2. Evaluate the following integrals: - Sa 2f(x) dx (2 Marks) S*(3f(x) - 29(x)) dx (2 Marks) S* f(x)g(x) dx (2 Marks) SIC) dx (2 Marks) C. d. g(x) Sub Total 20 Marksl
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...
4. If si f(x)dx = 10 and si g(x)dx = 6, then [2f(x) – 39(x)]dx is
Question 5. Find the following indefinite integrals: 1. fre'de 4. .Js 3.f x In x dx 6.[(x+5) Ževæ#5dx 2. f x sin 8x dx -5 (1 + In x) sin(x Inx) dx Sin2x sin x cos x dx 5. 7. 5 2x(x2 + 4)5dx 8. dx
(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 =
(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
15 Suppose that - [om-a. Jawa..ma ... [ )dx = 0, 5 t)dx= 7, and ſoba)dx=2. Use properties of definite integrals to calculate ST7f(x) + g(x)]dx. 6 15 Str(x) = g(x)dx = [] (Simplify your answer, 6