15 Suppose that - [om-a. Jawa..ma ... [ )dx = 0, 5 t)dx= 7, and ſoba)dx=2....
4. Given the integrals, [° 8(x) dx =-7, 5*8(x)dx = 6 and 5*g(x) dx = 10, use the properties of integrals to determine the value of the integrals below. a) [°(f(x)+g(x)\dx b) ſ 8(x)dx (4 pts cach) c) $39(x)dx a [ f(x)dx
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
(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=
14 of 15 (0 complete) Evaluate the definite integral J (1x² - 6x + 5) dx (7x² - 6x + 5) dx = 0 (Simplify your answer.)
8 6. Consider two functions fand gon (2.8] such that Sf(x)dx = 12. Jo(x)dx=5. vex)dx=7, and 59(x)dx = 3. Evaluate the following integrals 2 2 6 a. (58(x)dx=(Simplify your answer.)
(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 =
Compute the
followingelementaryintegrals.(a)dxxxxx3233/2[ 5
](b)dxxx222[5](c)dxxsin3/0
Question [15] Compute the following elementary integrals. 3x dx 3e-*-2 ex+1 [5] x3 sec?(x4 + 2) dx [4] (b) S (0) Lix - 1dx [6] Question 2 [20] Evaluate the following indefinite integrals. x2 dx [6] (b) f(x+1) tan-+ x dx [6] 10x (c) S x + 3)(x2 + 4x + 13) dx [8] Question 3 [15] (a) Find the area of the region bounded by the parabola x = y2 – 5 and the...
Dose 1.50) dx =7 (862) dx=15 (50) dx=9. 1'e() dv=3 14F(x)-2 g(x)) dx = is an odd function and is an even function Evaluate to (103dx = $(x) dx = 59(2) de T I Arial 3 (12pt] · TE E 5.00 1. P Question Completion Status: > A Moving to another question will save this response. Question 9 a , it Use Second Fundamental Theorem to find a Jo 0 ਨੰ: it = ਦੈਤ 0 , it = ਰੈੱਡ ©...
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
2. Evaluate the following indefinite integrals: (a) vel V=(x+2) dx ET (b) 3. Evaluate the following definite integrals: (a) cos(x) da (sin(x) +18 (b) COS 4. The graph of y=g(t) is shown below, and consists of semicircles and line segments. y=g() -1 3 6 596 s(t) dt Define the function f(x) by f(x)= Use the graph of y = g(t) and the properties of the definite integral to find: (a) the value of (i) f(3) (ii) f(-1) (iii) 1'(6) (b)...