According to the remainder theorem of the following integral, 3- de 3-I = (2+cos 0)2

Q: J Sin (In 6) de

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Q: 6. Evaluate the following real integrals by residue theorem 3 .2T Sín O S. I= J do a+ Coso ans: 2(a-…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Use the appropriate substitution to evaluate the following integrals: (2 1 A 3(2+ cos t)3 + C -1 + C…

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Q: Evaluate the integral of (cos 3A)^8 dA from 0 to tt/6.

A: To find:- Evaluate the integral of (cos 3A)^8 dA from 0 to π/6.

Q: 8 12 Vi VF dt 2.

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Q: Prove that the following integral can have any of the following 3 answers Ssen x cos x dx a) senx +…

A: ∫sinx cosx dx multiply and divide by 21 2∫2sinx cosx dx=12∫sin2x dx

Q: 1 6. Evaluate the given integral using suitable substituion COs(V도+ 3) dr

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Q: 6. Evaluate the following real integrals by residue theorem 3 or a>1 anso MTLWJ7 -bm 693 Cos mX ans:…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Find the definite integral using the Fundamental Theorem. 2 1 dt 4t NOTE: Enter the exact answer. ~2…

A: Definite integration problem

Q: 1- Find the integral of: 77 A. А- 2 cot - de JT/2 3

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Q: Use the fundamental theorem of calculus part 2 to evaluate the integral: 3 S (2x² – 3x + 3) dæ -2…

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Q: Evaluate the integral , sin 60 do 3+ cos 60 using the substitution u = 3+ cos 60. sin 60 +C 3+ cos…

A: Given:         ∫sin6θ3+cos6θdθ   substitute using u=3+cos6θ    dudθ=-6sin6θ→dθ=-16sin6θdu…

Q: Evaluate the integral. 1 u' 1 du 5 u

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Q: 6. Evaluate the following real integrals by residue theorem 3 T 211 I- -S do coso + 2 sing +3 ans o…

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Q: Find the Fourier integral formula for the following function: = { *+1, =| 7. f(r) 0,

A: We will find out the required fourier integral.

Q: Value of the following integral by mean of the Cauchy Residue Theorem is 1 ni = zp- z2 sinz 3 JEl-4…

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Q: (C) The evaluation of the integral de is Jo cos30 (i) +In 3 4. (ii) +-In 3 4 3 (iii) None of these

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Q: Evaluate the following improper integrals using Cauchy's Residue Theorem:(Convert them into a…

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Q: Evaluate the indefinite integral. Sa V1 - a? dæ cos° 0 – cos 0 +C 3 - 5/2 (1-22)이2-3 (1- 22)이2 +C. |…

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Q: 4 – dt 2 cos 4t 1.

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Q: Use the residue theorem to evaluate: o dx 0 x3+1 2n/3

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Q: (C) The evaluation of the integral S. de is 0 cos3e (i) 글+in 3 3. 4 (ii) +=In 3 4 3 (iii) None of…

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Q: 4. Use residue theory to calculate the following integrals: 3x (a) P.V. · Loo (2²+49) (2² - 2x + 5)²…

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Q: 2.3 Use the Cauchy integral formulae to evaluate 22 -1 J (9 – 2ª)(2 + 2i))* where C is a circle |2 +…

A: The general form of a complex number is given by z=x+iy, where x,y are two real numbers and i=-1.…

Q: The evaluation of the integral - de is +In 3 (C) 0 cos3e (i) 4 (ii) + In 3 3. (iii) None of these…

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Q: 6. Evaluate the following real integrals by residue theorem 3 ーン ans : 493 • I= ST dX ans 8 12…

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Q: Evaluate the integrals

A: Solution -  Given Integral equation - y = ∫π201+cos2t2dty =12∫π20dt + 12∫π20cos2t dtUsing…

Q: Evaluate the integral 7sin^2(x)cos^2(x)dx, from 0 to pi/2

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Q: Evaluate the following iterated integral. 22 2.2 x"y хр Ар 00 22 2.2 00 (Type an exact answer in…

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Q: Suppose that the trigonometric substitutionx = 3 tan 0 is used to compute an integral and the answer…

A: Simply use  resubstitution and replace θ in terms of x from initial trigonometric substitution.

Q: Using the Cauchy residue theorem evaluate the following improper integral cos 2 dx (22 +1)2"

A: ∫0∞cosxx2+12dx=∫0∞cosxx+i2x-i2dx Let fx=cosxx+i2x-i2. Then f has singularities at x=±i with…

Q: 1- Find the integral of: A 2 cot - de 3 T7/2 А-

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Q: Use residue theory to calculate the following integrals: P.V. fo (a) P.V. 3x (x²+49) (x² - 2x + 5)…

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Q: Evaluate the given integrals. 5. S(1 – cos 0) csc²0 d0 -

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Q: Consider the following integral 3d.r (16-472)5 A suitable trigonometrie substitution to reduce it to…

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Q: Compute the following integrals using Residue Theorem. 52 - 2 a. b. dz 232-27 4² dz Soz (z − 2)4 dz,…

A: To compute the given integrals using Residue theorem. Residue theorem: Suppose f(x) is analytic in…

Q: Use Residue Theorem to evaluate each of the following integrals. de (a) So 5-4 cos e dz (b) $ around…

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Q: 4. Evaluate the following improper integrals using Cauchy's Residue Theorem: (Convert them into a…

A: Note: We are solving the first two questions

Q: 24) Determine the following indefinite integral. |(3u-2 – 4u? + 1) du

A: To evaluate the integration.

Q: Use Residue Theorem to evaluate each of the following integrals. de (a) 5-4 cos 0

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Q: can i get step by step help please

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Q: 6. Evaluate the following real integrals by residue theorem 3 • I- 88 151 +47 O dx (x²+1)(x² +9) ans…

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Q: Evaluate the integral using the given substitution. SV cos (2-7) dx Select one: 3/2 sin (x - 7) + C…

A: topic - indefinite integral

Q: The result of the following double integral is LL* -3 у+1 4y dxdy= ? -4°0 O None of he others О 225…

A: The given integral,         ∫-40∫03y+14y dxdy

Q: evaluate the integral. 7 te? 1. 5X 2

A: As per guideline we can solve maximum one question ,you can repost other question

Q: Evaluate the integral. 7/6 (7/2 (5 p2 sin() dp de do Jo

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Q: 8. Find a recursion formula for the family of integrals I (n) = r I(1 x" sin x dx that starts with…

A: Given a family of integrals, I(n)=∫xnsinx dx

Q: 1- Find the integral of: A- 2 cot - do T/2

A: Find the definite integral by using substitution

Q: Evaluate the iterated integral. * TI/4 cos(8) 3r2 sin(0) dr de

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