obtain the resukt of the following integrals by using complex numbers and by either the residual theorem or the cauchy euler theorem 2π cos2θ Jo 3-sino 7 ._ dx 8 J-oo (x2+1) (x2+2x+2) 2π cos2θ...

Question

Question

obtain the resukt of the following integrals by using complex numbers and by either the residual theorem or the cauchy euler theorem 2π cos2θ Jo 3-sino 7 ._ dx 8 J-oo (x2+1) (x2+2x+2)

2π cos2θ Jo 3-sino 7 ._ dx 8 J-oo (x2+1) (x2+2x+2)

math Advanced-Math

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

2-TT 2 do 3- SimO an 12 aC 4- ズ 2 2112 4 2 4- ズ 2 225-18t I1 294ス 42-14. 8 Tak on ス 11 Pole Pole. スー

Add a comment

Answer 2

Similar Homework Help Questions

3) Evaluate the following integrals: 13 dx Jo (x2 +93/2 +9)3/2 dr

3) Evaluate the following integrals: 13 dx Jo (x2 +93/2 +9)3/2 dr
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
1. Evaluate the following integrals: 8. x(2x + 3)dx b.

1. Evaluate the following integrals: 8. x(2x + 3)dx b.

F) 3w-5 w-25 (2) Which of the following definite integrals cannot be evaluated using the Fundamental Theorem of Cal...

F) 3w-5 w-25 (2) Which of the following definite integrals cannot be evaluated using the Fundamental Theorem of Calculus? (This has nothing to do with being able to find an antiderivative), D) S B) sin() In(x) dx (C) x tan(x) dx A) dr dx 1+e In(x2 +1) dx sin(® dx\ (G) J V+ sin H) F) 2 dx o )u xb [(x)1-(x)ul, 3 x+1dx be evaluated using the FTOC ? C) F) 3w-5 w-25 (2) Which of the following definite...
Question 2 (Learning Outcome 2) 0 S (*x+3) dx S A) Evaluate the following integrals. 4x+7...

Question 2 (Learning Outcome 2) 0 S (*x+3) dx S A) Evaluate the following integrals. 4x+7 2x+5) 5x2–2x+3 (ii) dx (x2+1)(x-1) x2+x+2 (iii) S3x3 –x2+3x+1 dx dx (x+1)V-x-2x In (x) dx (iv) S x2 X+1 (vi) S dx (1+x2) (vii) S dx x(x+Inx) (viii) Stancos x) dx (ix) 30 Sin3 e*(1 + e*)1/2 dx dx 2 sin x cos x (x) S B) Find the length of an arc of the curve y =*+ *from x = 1 to x...
(2) Calculate the following integrals: х 2.x3 – 4x + 3 -dx (x + 1)2(x2 +1)...

(2) Calculate the following integrals: х 2.x3 – 4x + 3 -dx (x + 1)2(x2 +1) Java 2 - 25 2 dx x4V x2 – 25 (3) Explain why, using the techniques we've learned so far, we are able to calculate the integral of any rational function. (A rational function is one of the form p(x) where g(x2) p and q are polynomials.)

Evaluate the following integrals Evaluate the following integrals: 3 1 32/2 7 (i) dx 6°2712 dx...

Evaluate the following integrals Evaluate the following integrals: 3 1 32/2 7 (i) dx 6°2712 dx x²x² + 4 (4x² +9312
Question 5. Find the following indefinite integrals: 1. fre'de 4. .Js 3.f x In x dx...

Question 5. Find the following indefinite integrals: 1. fre'de 4. .Js 3.f x In x dx 6.[(x+5) Ževæ#5dx 2. f x sin 8x dx -5 (1 + In x) sin(x Inx) dx Sin2x sin x cos x dx 5. 7. 5 2x(x2 + 4)5dx 8. dx
Using trigonometric identities and substitution, evaluate the following integrals: 1. S sin5 x dx 2. Shamrzdx...

Using trigonometric identities and substitution, evaluate the following integrals: 1. S sin5 x dx 2. Shamrzdx 3. S V4 – 9x2dx 4. Sýsin? x dx 5. S 1 dx x2 +81

We have the following Limit Comparison Test for improper integrals: Theorem. Suppose f(x), g(x) are two...

We have the following Limit Comparison Test for improper integrals: Theorem. Suppose f(x), g(x) are two positive, decreasing functions on all x > 1, and that lim f(x) =c70 x+oo g(x) Then, roo 5° f(x) dx < oo if and only if ſº g(x) dx < 00 J1 (a) Using appropriate convergence tests for series, prove the Limit Comparison Test for improper integrals. (Hint: Define two sequences an = f(n), bn = g(n). What can you say about the limit...

obtain the resukt of the following integrals by using complex numbers and by either the residual theorem or the cauchy euler theorem 2π cos2θ Jo 3-sino 7 ._ dx 8 J-oo (x2+1) (x2+2x+2) 2π cos2θ...

Homework Answers

Add Answer to:
obtain the resukt of the following integrals by using complex numbers and by either the residual theorem or the cauchy euler theorem 2π cos2θ Jo 3-sino 7 ._ dx 8 J-oo (x2+1) (x2+2x+2) 2π cos2θ...

Post as a guest

Earn Coins

3) Evaluate the following integrals: 13 dx Jo (x2 +93/2 +9)3/2 dr

2. More integrals! Evaluate each integral, using either a Cauchy Integral Formula or Cauchy's Residue Theorem....

1. Evaluate the following integrals: 8. x(2x + 3)dx b.

F) 3w-5 w-25 (2) Which of the following definite integrals cannot be evaluated using the Fundamental Theorem of Cal...

Question 2 (Learning Outcome 2) 0 S (*x+3) dx S A) Evaluate the following integrals. 4x+7...

(2) Calculate the following integrals: х 2.x3 – 4x + 3 -dx (x + 1)2(x2 +1)...

Evaluate the following integrals Evaluate the following integrals: 3 1 32/2 7 (i) dx 6°2712 dx...

Question 5. Find the following indefinite integrals: 1. fre'de 4. .Js 3.f x In x dx...

Using trigonometric identities and substitution, evaluate the following integrals: 1. S sin5 x dx 2. Shamrzdx...

We have the following Limit Comparison Test for improper integrals: Theorem. Suppose f(x), g(x) are two...

obtain the resukt of the following integrals by using complex numbers and by either the residual theorem or the cauchy euler theorem 2π cos2θ Jo 3-sino 7 ._ dx 8 J-oo (x2+1) (x2+2x+2) 2π cos2θ...

Homework Answers

Add Answer to: obtain the resukt of the following integrals by using complex numbers and by either the residual theorem or the cauchy euler theorem 2π cos2θ Jo 3-sino 7 ._ dx 8 J-oo (x2+1) (x2+2x+2) 2π cos2θ...

Post as a guest

Earn Coins

Add Answer to:
obtain the resukt of the following integrals by using complex numbers and by either the residual theorem or the cauchy euler theorem 2π cos2θ Jo 3-sino 7 ._ dx 8 J-oo (x2+1) (x2+2x+2) 2π cos2θ...