use residue theorem to evaluate the following integrals
See dear these all are different lengthy problems. According to HOMEWORKLIB RULES I have to solve only the first question when multiple questions are given. So I am solving first question. Hope similarly you can solve other questions.Rate it.
16) Solution:
use residue theorem to evaluate the following integrals 16) cosa 30 de 5- 4 cos 20...
use residue theorem to evaluate the following integrals sin z 21) 20) Cosx dx (r? + 1) X 22) sin mx dx 2(x² + a²² (a > 0, b>0) 23) cos ex - cos bx -dx x?
solve a and c only 1. Use the residue theorem to evaluate the following integrals: cos θ (2+sin θ) 2n 0 0 1+sin2 θ 2x-0820, de (C) Jo 5-4cos
5. Use Cauchy's residue theorem to evaluate the following integrals along the circle 121 = 4: C 22 5. Use Cauchy's residue theorem to evaluate the following integrals along the circle 121 = 4: C 22
4. Evaluate the following integrals using the Residue Theorem. Justify your calculations, show the work. (10 points each) a) 12 cos a + 13 2 da b) (x2 +6x + 10)2 x sin 2x 24 13 da: c) 4. Evaluate the following integrals using the Residue Theorem. Justify your calculations, show the work. (10 points each) a) 12 cos a + 13 2 da b) (x2 +6x + 10)2 x sin 2x 24 13 da: c)
2.6 Exercise. [Paul Use Theorem 9.35 and then Remark 9.34 to evaluate the following integrals (for some a, b e R such that a < b) 1. ( cos (r - log (x)dr 3. s 2 (3 - 10 dr 5. S sin (1-) (2-cs( ))dr 6. cos (3r) (si(3) 3-tan(4) a cos(4) 7 a (5r2+4) 14 15 2.6 Exercise. [Paul Use Theorem 9.35 and then Remark 9.34 to evaluate the following integrals (for some a, b e R such...
if you could please evaluate each of the following integrals that would be great! Thank you in advance! ДА 9 10 11 12 13 14 15 15 a) | 4e** f(e?*)dx ja b) [2]5(-x+1) di c) [°50f(3x² +1)dx + d) 3f (2 cos(4x)+1) .dk csc(4x) (Vx √x - dx f) s f (5 tan(3x)) - dx cos? (3x) +1+ 12
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
2. Evaluate the following integrals. (a) [5 marks] | el cos 4xdx -1 x (b) [5 marks] / cosdx -x³+3x²-x- dr. 1dx (c) [10 marks] (п -3)(12+2) 4 (d) [5 marks]/ dx V4-5x-2x2 dx cosh x-sinh x (e) [5 marks]] (Give the final answer in terms of e.)
19 = 1 7. (15 points) Sections 6.4-6.6 Use the residue theorem to calculate the following integrals. a. 1 = 1 d 2 +9 dar b. 12 = 1. <+1) h c. Cos 2x da 2? + 4 2i Vr+e? da x2 + 4 d. 1 = 2 va + che de
i need help on 29,31,35,37 11 27. wate the following integra ntegrals using 29-62. Definite integrals Evaluate the Fundamental Theorem of Calculus. 30. Jo (3x² + 2x) dx Ji (29.) [ 4x ? dx Jo 30. (°(3x² + 2x) dx 31, L* 8x1/30 32 (19 -514 2x 33. Jo (x + Vrsar 34. / A 2 cost ap 2 de 36. (2+ + de 37. [ (x2 - 444 -2 38. Sinsear 30. I 2 (13 – 8) di 40....