What is the integral of f 2z²–3z+2 1 -dx? O vi tan () +C 7 O None of the choices Gan '(녹루) + C 4z 3 O tan

Q: What is the integral of f(x) = X within the interval [3, 6]? %3D 5. 4+ 3- 2- 1 O Area = 18 O Area =…

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Q: 14. Evaluate the integral: | ze dz. 1

A: Integrating by parts.

Q: 4 dr. 162? — 16х +13 Use the Table of Integrals in the back of your textbook to evaluate Perform the…

A: Indefinite Integration

Q: 2. Use Cauchy's Integral formula, Evaluate the following sin42 IZ1= 3. (Z-4)3

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

Q: 2- Evaluate the integrals in Exercises 7- 8- 9- In 9 Son 24/2 In 4 S dr [ 21 e ² dt ex/2 dx

A: To evaluate the given integrals.

Q: To evaluate the integral 1. 7 64 + x² -dx,

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Q: How did you get the integral of u/sqrt(u^2-1) to equal srqt(u^2-1) Steps 4 to 5 in your answer.…

A: Solve the integral by substitution method

Q: Evaluate the integral fa*(2* – 2)" dz 15 by making the substitution u x4 – 2. -

A: Given : ∫x3(x4-2)15dx

Q: Find the indefinite integral: 10sin 3x - 15 cos 2x + 6 e5x + C O 90sin 3x -60 cos 2x + 150 e5x + C…

A: 30∫cos3x+sin2x+e5xdx=30· ∫cos3xdx+∫sin2xdx+∫ e5xdx=30·…

Q: Calculate the exact value of each definite integral in Exer- cises 47-52 by using properties of…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: What is the integral of f(x) within the interval [2, 4]? AY 6- O Area = 2.0 O Area = 2.5 O Area =…

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Q: (5) Find the indefinite integral (a)f Vtan x sec²dx (b)fem2* sec² 2xdx sin x (c) Cos x 1 cos-do 0 2

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Q: Evaluate the integral of sec^5 (x) tan^3 (x) dx * 1/7 sec^7 (x) - 1/5 sec^5 (x) + C 1/3 tan*3 (x) +…

A: Given: I=∫sec5xtan3xdx   As we know that; The trigonometric identity; sec2x=tan2x+1 The Power rule;…

Q: Calculate the double integral of f(x, y) over the triangle indicated in the following figure: 4- 3.…

A: Given:

Q: Exercise 20. Compute the definite integral 1 3r - 5 (00

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Q: Use a substitution of the form u = ax +b to evaluate the indefinite integral belov 7x+1 dx 7x+1 dx%=

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Q: 14. Verify that f cotx dx = In(sin x) +C. (Do not try to solve the integral from scratch.) %3D

A: Given: verify that ∫cotxdx=lnsinx+c For verifying given integral, we integrate given integral

Q: 8 Evaluate the integral: In 3x dx A. In 3 + C C. +C (In 3x) 1 D. (In 3x) + C В. + C

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Q: Which of the following integration expression can't be transformed into integral of power Ju"du). @…

A: In this question , we can check which integral transformed into ∫un du.

Q: Evaluate the integral +2 zp; :- 2 in the two cases: 1) y = {z :|2| = 1}; 2) y = {z : |2| = 3}.

A: We will evaluate it by Cauchy Residue Theorem Let R be the residue then ∫f(z) dz = 2π i R Firstly,…

Q: 6. Evaluate the fallowing real integrals by residue theerem 3 2计 I = Ssine -d8;a>l anse 2(a- Ja?1)

A: Given: I=∫02πsin2θa+cosθdθ, a>1

Q: 7 Evaluate the improper integral, if exists : dz (5 - 2)3

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Q: Find the indefinite integral: O 10sin 3x - 20 cos 2x +6 e5x + C 90sin 3x 60 cos 2x + 150 e5x + C…

A: The objective is to find the indefinite integral.

Q: Compute the approximation  of the integral -4 to 4 e^(-x^2) using right endpoints with 4 rectangles;…

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Q: [(9)se x². d²+xdx + (x²-n²) y=0_ by substitution x== 1102 at 2 pt souhen Hence show that it has no…

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Q: (4 b Prove that 5 foxx dx = K (6-a) using definition of integral, where fø= k [a,b], on

A: Given function is fx=k on a,b. We have to prove that ∫abfxdx=kb−a. Take Left hand side  Use Property…

Q: Compute the integral: -3 dz (z – 2)*

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Q: 1- 3 sin (x) dx. 2 cos2 (x)

A: Computer the Integral

Q: Evaluate the integral. VZ/2 dr V1-2

A: In this question we have to evaluate the Integral.

Q: What is the integral of 2.9^x from x=1 to x=4?

A: This question related to integration.

Q: 39. (3-2x) dx 40. (x² - 3x) dx 0, 41-46 Evaluate the integral by interpreting it in terms of areas.…

A: Since you have posted multiple questions with subparts, as per our guidelines we will answer the…

Q: Which of the following integration expression can be transformed into integral of power (Ju"du). (c…

A: A

Q: Can i get help step by step with this problem?

A: We need to evaluate the value of the given integral

Q: COSz Show, without evaluating the integral, that z2(z + 1) *26 5 zp-

A: Given integral is , ∫ccoszz2z+1dz. Cauchy residue test: ∮fzdx=2πib1. Where b1is residue of fz.…

Q: Q2/Evaluated the integrals v2 1- f– (1-v2 )2

A: The integration of v2/(1-v2)5/2.

Q: Apply Residue theorem to find the value of the integral siniz² (z+1)²(z-2)' C:lz + 11 = 3.

A: We have to apply the Residue theorem to find the value of the following integral : ∫C sin πz2z+12z-2…

Q: Can i get help with this problem step by step?

A: To evaluate the below integral

Q: Evaluate the indefinite integral. (7z + 7 71 + -dr Jz² +1

A: Given,          ∫7x+7x2+1dx

Q: Evaluate the integral fff, xyzdV,where: E = {(x, y, z)|–1 <x< 1,0< ys 2,1 szs 2}

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Q: Compute the approximation  of the integral -4 to 4 e^(-x^2) using mid points with 4 rectangles, you…

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Q: How do you integrate z/(z+2) in terms of z?

A: Here, integral is,

Q: Use the Addition Property for integrals and the results of Section 5.2 to find values for r and s.…

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Q: Evaluate the integral of sec^5 (x) tan^3 (x) dx O 1/3 sec^3 (x) + 1/5 sec^5 (x) + C O 1/3 tan^3 (x)…

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Q: Determine the integral of sec^4 (x) tan^2 (x) dx 1/3 sec^3 (x) + 1/5 sec^5 (x) + C O 1/7 tan^7 (x) -…

A: We us substitution method of integration to solve following integral

Q: Use the calculus of residues to evaluate the improper integral COSX -dx. (x²+1)³

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Q: Evaluate the integral: –(9z²+7x) dr %3D (1-1)(z+1)²

A: Given :∫-(9x2+7x)(x-1)(x+1)2dx

Q: sec² (1+ /7) dr. 6) Use the substitution u = 1+Va to evaluate the indefinite integral|

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Q: Evaluate the improper integral : 6be 8z" dx

A: Note: As per our guideline we are supposed to answer only one question. kindly repost the other…