17. Use geometry to evaluate the definite integrals. Use your calculator to verify your result. (a)...
Use geometry to evaluate the following definite integrals, where
the graph of f is given in the figure.
LLLLL y=f(x) 1 1 2 3 4 5 6 7 8 x | 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
Use geometry (not Riemann suma) to evaluate the definite integral Sketch the graph of the integrand, show the region in question, and interpret your result (3x + 6 Choose the correct graph below. ОА OB Oc OD 10 RE o 3 The value of the definiertes (3x + 6)dx as determined by the area under the graph of the integrandis Type an integer or a decimal)
Let Use these values to evaluate the given definite integrals. [ fayde = 12. Disleyde = -8. [ole) de = -10. ["alwydr = –13, => [°(f(x) + f(x) dx = Đ» "(F(a) – g()) dx = 1 g(x)) dx = + 2g(x)) dx = d) Find the value a such that/ (a f(x) + g(x)) dx = 0. a=
PLEASE ANSWER ONLY #13. THANK YOU!
804 CHAPTER 13 Definite Integrals: Techniques of Integration EXERCISES 13.2 37. In the figures, D) has the area (a) (W) de Evaluate the definite integrals in Problems 1-32. 1. for de 2 (Bxdx 4 2dy 5. (dx 6 Izde 7. 36 de 9. (10 - 4x) dx 10. (8x – 9) dix 11. C'ex-? - 5x) dx 12. f**-5x + 2x) dx 13. Lavras 14. (Vada 15 ligdy 16. 17. / - 4) da...
use residue theorem to evaluate the following
integrals
16) cosa 30 de 5- 4 cos 20 17) COSI det (x + 1)? sin 3x dx 18) sin x dx (x² + 4x+5 19)
Use the theory of residues to evaluate the following real, definite integrals: 210 do Hint: integrate on the unit circle, z = elo; dz = izdo. Hint: find the residue in the upper half plane. ſº I dx 13+5 sin e dx b. So y2 + 4x +5 J-ox? +dx
Use geometry (not Riemann sums) to evaluate the definito integral. Sketch the graph of the integrand, show the region in question, and interpret your result. (3x+6)dx Choose the correct graph below. ОА. ОВ. OC. OD. -10-11 The value of the definite integral (3x + 6)dx as determined by the area under the graph of the integrand is (Type an integer or a decimal.)
3. Using the graph off compute the definite integrals (use known geometric formulas). 2 4 (n) (2) de (w) | sle)dr = S $12)de - [ Педаг . (e) 4. Using the graph of g compute the definite integrals. area 3 arca-6 6 7 5 area (b) (a) [*ola) dr = 9(x) dx = (c) (a)dx (d) (Circle one) ne) . 9(1) dr = positive / negative / zero 2
Use partial fractions, completing the square, and/or integration
tables to find the following definite integrals (make it clear
which method you use)
(a) 18 dx 12 - 49 (b) 1 20 dx 22 - 72 10 | | (c) 6 dx 12 - 4 - 5