4. If \,f(x)dx = 10 and 1, g(x)dx = 6, then S,[2f(x) – 3g(x)]dx is 31
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
0 1 x 1. X 63, (S) dx ใฯ +S 8 ] Fox
1 (a) Evaluate the integral sz? dx. (32-7) 5 2 7 (b)if s f(x)dx = 3 and 5 f(x)dt = 4, find S f(x)dr. 5
dx (8-5)(x+7
prove it 7. Sinx dx=- Cosx +C 8. Cosr dx=Sinx + c Sx dx = x 1+1 10.Sa*dx = a In a
7.) If S*f(x)dx = 22 and S, f(x)dx = -14, find the following and clearly show how you arrived at your a. Sº f(x)dx b. 838(x)dx answer
(1 point) i * f(x) dx = 3 and ' s(x) dx = 4, what is the value of [ f(xBC) da where D is the rectangle: 3 < x < 4, 3 sy s 7?
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]
8. Evaluate the indefinite integral: S(5x3 + 2 cos x )dx a. b. S(4x3 – 8x + 7) dx