11. uf /*s(a)dx = 4 and 5* $(2)dx = 5, fina [°s(dr. 12. Find ſº va=2ds. (Hint: use geometry.) 13. Compute: 'Vole? + x'")dls. 14. Find /(2x + 3) 4x2 + 12xdv.
Suppose that l's f(x)dx = 2, Lot f(x)dx = -6 and [ f(a) =1 Compute f(x)dx O 5 O-5 -9 O-4 O9
17. If F is a d.f. such that F(0-) = 0, then -F)) dx xdF(x) +oo Thus if X is a positive r.., then we have P[X x}dx E(X) PX> x}dx =
(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) Let [ f(x) dx = 10, f(x) dx = 7, flade = 5. Find f(x) dx = -2 and / * 1054 L. *105(z) – 7 da
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
Let F(x)= dx. Then 1/2 2 + cos(12) F(T) is a 211 b. TT c.1-17 Flav Ce 1
d f(g(x) dx Referring to the plots of f(x) and g(x) below, calculate: Afrac{d}{dx}f(g(x))\Big|_{x=5} 20 f(x) 15 10 5 15 0 5 10 20 20 15 10 g(x) 0 0 10 15 20 \frac{1}{2} 5 1 O-1 O15 |위의의
d f(g(x) dx
Referring to the plots of f(x) and g(x) below, calculate: Afrac{d}{dx}f(g(x))\Big|_{x=5} 20 f(x) 15 10 5 15 0 5 10 20
20 15 10 g(x) 0 0 10 15 20 \frac{1}{2} 5 1 O-1 O15 |위의의
Use the values f(x) dx = 9 and • 5*ox g(x) dx = 6 to evaluate the definite integral. Dar 1920 (a) -8 29(x) dx (b) f(x) dx f(x) dx (0) Stra) – P2 [f(x)-f(x)] dx Need Help? Read it Watch It Talk to a Tutor
Question 2 please
1 and 2, determine whether or not the integral is In exercises improper. If it is improper, explain why 12. (a) 12 x-2/5 dx 「x-2/5 dx 「x2/5 dx (b) (c) I. (a) 0 13. (a 40 1 dx 2 x 14. (a In exercises 3-18, determine whether the integral converges or diverges. Find the value of the integral if it converges. 15. (a (b)人1x-4/3 dr 3, (a) l.lyMdx (b) x43 dx 16. (a 4. (a) 45 dx...