Q.1) Evaluate the following integral (2e - 4e" – 1)f

Q: G.. Evaluate the fallowing real integrals by residue. theerem 3 -bm e 응) co3 mx (x4a?) Cx+b?)

A: This is complex analysis problem, we apply the residue theorem to solve the problem.

Q: Q.1) Evaluate the following integral et rp- (2e2-4e* – 1)i

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Q: Q14: Compute the following indefinite integral х2+5х+6

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Q: 5. Evaluate the following improper integral, if possible. Show all work! (2x-1)

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Q: Q.1) Evaluate the following integral dr (2e – 4e – 1)

A: To evaluate this integral by method of substitution

Q: Q.1) Evaluate the following integral 2dx x (3(ln z)2 + 12 In r- 15)

A: The given integral is: I=∫2 dxx3 (ln x)2+12 ln x-512

Q: 7.1: Evaluate the following integral and show your work: S (2? + 1) e-" dæ, 0 < x < 1 е

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Q: Q.1) Evaluate the following integral -dr (2e – 4e" – 1)

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Q: 2x Evaluate the improper integral J dx, if it exists. (12 + 81)2 -00

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Q: 19. fy/6 + 4y – 4y² dy

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Q: 6. Let r>0. Evaluate the following improper integral:

A: the given integral is ∫-∞∞rr2+x2dx First solve the integral ∫rr2+x2dx r∫1r2+x2dx substitute x = ru…

Q: t0 SinnlVx) 기 x

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Q: 6. Evaluate the fallowing real integrals by residue theerem ? dX ニ ans : こ。(X+a?)2 493 • I- ans B 12…

A: Let's find.

Q: 21. Write the definite integral that repre formed by y = x² + 2x + 1 and y=2x+5. Do:

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Q: 1. Find the following indefinite integrals: 1 du b. fcos uchu = а. 1 fa'du- d. . du - с. 1+u? f. f-…

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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: Q.1) Evaluate the following integral (2e2-4e-1)

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Q: Q.5 Evaluate the integral with the aid of the formulas 5,6, and 7. dt 9-4t2

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Q: 1. Determine the following integrals: 1- 2 (a) dar- (b) |

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Q: 5. Evaluate the integral: Jsin?x cos'x dx

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Q: Q2:A/ Evaluate the integrals sec (1 + ex) tan (1 + e'/x) dx

A: Integral

Q: 1. Evaluate the following integrals. 1 1. -d.x J #(9 – In² x)5/2" |

A: Follow next step

Q: Evaluate the integral √ (k+ 2) ( k + 3) dx

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: 7. Evaluate the following integrals : (») f (; 4 z) dz, (a) z-1 |z|=3

A: Since you have asked multiple questions, we will solve the first question for you. If you want other…

Q: Q.1) Evaluate the following integral et xp- J 2= – 4e* – 1) “r

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Q: 1. Find the following indefinite integrals: a. G b. fcosudu = 1 c fa'du=- d. Jitu du = e. fsecu…

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Q: S77/2 Su² sin (=) dt du Evaluate the integral: f/2.

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Q: Evaluate the definite integral. •4 ti + t?j| dt 3 |(7 - 1) 2 17 3 173 3

A: The value of the given integral is 1/3(173/2 - 1)

Q: Q1/ Solve the following iterated integral: SL. ex-ydA, R: 0sxs In 2, 0sys In 2.

A: 1) We have to solve the iterated integral ∫∫nR ex-ydA where R= 0≤x≤ln2 ,0≤y≤ln2

Q: .4 The integral f has a value of: a. In y In 4 b. С. d. In 2 е.

A: Hi There,  As per bartleby rules, we are supposed to do only one question at a time.  Kindly repost…

Q: Evaluate the integral. 3t-2 clt to t +1

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Q: 9. Evaluate the following integrals а. se cx b. CO s x + co s(8z) – iz 3 -4x с. dr x? +1 -

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Q: Q.1) Evaluate the following integral 2dr (3(In r) + 12 ln z -15)

A: Given:∫2x3ln2(x)+12ln(x)-15dx=23∫1xln2(x)+4ln(x)-5dxNow solving∫1xln2(x)+4ln(x)-5dxsubstitute…

Q: Evaluate the improper integral t* e-2t 3+e-4t at

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Q: Q.1) Evaluate the following integral e dar. - 4e – 1)3 (2e2

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Q: 6. Evaluate the following integrals. 1/4 (2) [¹ sec³ πt dt

A: 6. ∫014sec3πt dt Note:    Multiple questions are given, we are answer with only one question.

Q: Q1) Evaluate the integrals + x* +x² + 1 dr x? +x - 2

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Q: 40 (a) Evaluate the integral: da x2 + 4 0. 2)

A: "As per our guidlines we are supposed to answer only one question. Kindly repost other question as…

Q: 5. Evaluate the following integrals3 sin ttZ dz C: İz-il 471 =D2 ans: C. 3. coshz -27 ans : Icz²3iz

A: By residue theorem, we can solve these problems.

Q: The result of the following double integral is 2 2 у ST (6 x² y - 5 e)dxdy= ? 0. -2 y 909 -20e? +…

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Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Given, ∫0π42cos(x)dx

Q: 7. Evaluate the following integrals : (») f (- 4 - z) dz, (a) z – 1 |z|=3

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 1. Determine the following integrals: (a) dr (b) (7-)da

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Q: 2 Evaluate the definite integral Зх + 4 dx 11 5 17 17 2 ךי" יזנ 3.

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Q: (8) 18. Evaluate the following indefinite integrals: (a) / (5e* +7z + 1le") dr dr

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Q: Evaluate the integral.   The integral from 1 to 4 of e^(4/x)/x^2dx

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Q: 1. Evaluate the integral using the given substitution xcos(9x2)dx u = 9x2

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Q: t'dt √4+1² 19 dt

A: We have to evaluate ∫02t34+t2dt.

Q: Q5: Compute by part the following indefinite integral Sx. In x dx

A: Given  that a integration and we solve it by part. We know that integration of Xn  is -  = Xn+1/n+1.…