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4. Evaluate the following integrals using the Residue Theorem. Justify your calculations, show th...
solve a and c only 1. Use the residue theorem to evaluate the following integrals: cos...
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
use residue theorem to evaluate the following integrals 16) cosa 30 de 5- 4 cos 20...
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 residue theorem to evaluate the following integrals sin z 21) 20) Cosx dx (r? +...
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?
19 = 1 7. (15 points) Sections 6.4-6.6 Use the residue theorem to calculate the following...
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
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 12...
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
2. More integrals! Evaluate each integral, using either a Cauchy Integral Formula or Cauchy's Residue Theorem....
2. More integrals! Evaluate each integral, using either a Cauchy Integral Formula or Cauchy's Residue Theorem. Take C to be the circle [2] = 3, oriented counter-clockwise. 1) Sota-1jad: 6) Se TH h) Sorºcos(1/2)da
Evaluate the integrals. Please show each step clearly. Thanks! :) 1) Evaluate the following integrals. You...
Evaluate the integrals.
Please show each step clearly. Thanks! :)
1) Evaluate the following integrals. You must show your work. If an integral does not converge, show why. a. st x2 - 4x – 1 dx x3 + x 10 b. 5 - dx (x - 2)3 c. .00 15x2 + 6 dx (5x3 + 6x)3
Exercise 12: Residues and real integrals (a) [6+4 points) Compute the residues for all isolated singularities...
Exercise 12: Residues and real integrals (a) [6+4 points) Compute the residues for all isolated singularities of the following functions (i) f(2)== (2-) tan(2), (i) 9(2):= z2 sin () (b) (4+6+5 points) Compute (using the Residue theorem) (1) cos(72) ( d, A3 := {z € C:<3), 243 := {Z EC: | = 3}, 34, (2-1)(2 + 2)2(2-4) : 43 € C:21 <3}, po 12 To (x2 + 4)2 da, 24 2 + 4 cosat. J 5 + 4 sin(t)
8. Evaluate the given integrals. Show all work: 8. Evaluate the given integrals. Show all work:...
8. Evaluate the given integrals. Show all work: 8. Evaluate the given integrals. Show all work: (a) ſ 1 der x Inc (e) der 2+1 [" sin cos x de
2.6 Exercise. [Paul Use Theorem 9.35 and then Remark 9.34 to evaluate the following integrals (fo...
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...
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
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 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?
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
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
2. More integrals! Evaluate each integral, using either a Cauchy Integral Formula or Cauchy's Residue Theorem. Take C to be the circle [2] = 3, oriented counter-clockwise. 1) Sota-1jad: 6) Se TH h) Sorºcos(1/2)da
Evaluate the integrals.
Please show each step clearly. Thanks! :)
1) Evaluate the following integrals. You must show your work. If an integral does not converge, show why. a. st x2 - 4x – 1 dx x3 + x 10 b. 5 - dx (x - 2)3 c. .00 15x2 + 6 dx (5x3 + 6x)3
Exercise 12: Residues and real integrals (a) [6+4 points) Compute the residues for all isolated singularities of the following functions (i) f(2)== (2-) tan(2), (i) 9(2):= z2 sin () (b) (4+6+5 points) Compute (using the Residue theorem) (1) cos(72) ( d, A3 := {z € C:<3), 243 := {Z EC: | = 3}, 34, (2-1)(2 + 2)2(2-4) : 43 € C:21 <3}, po 12 To (x2 + 4)2 da, 24 2 + 4 cosat. J 5 + 4 sin(t)
8. Evaluate the given integrals. Show all work: 8. Evaluate the given integrals. Show all work: (a) ſ 1 der x Inc (e) der 2+1 [" sin cos x de
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...
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