2) evalu ale the following integrals 3) ure completing up the square Nx2 - 2n - 2 b) shew that 3x + 62 +2 = 3 by complenng the square. Hence evaluaie 2. the integra d N 3n2+ 6n +2 S 2. e) 2P (222-1)2+

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Q: Use the substitution formula to evaluate the integral 6r dr V16• 3r² O 2V19 -8 O NIS .4

A:

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A:

Q: a) Evaluate the Rollowing integrals 2) sinrde 3)

A: Answer and explanation is given below According to guidelines,i will provide answers of first three…

Q: 3. (a) Set up the integral for the are length of the parabola y=2x* from (0,0) to (1,2). (b) Set up…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

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: Calculate the iterated integral A 67 5x cos y dydx. 1 2n 5

A: Explanation of the answer is as follows

Q: Exercises Caleulate the following integrals: 2'Gasade 4) de, where c in 2+1 (2-1)(a-2) %3D the two…

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Q: Evaluate the integral -3-2s ds. V-3-2s ds %3D

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Q: Evaluate the integrals: 1₁ = - S using Second-order Gauss quadrature. O I₁ = 3.1416 12 = 1.5708 1₁ =…

A: Second - order Gauss quadrature formula:…

Q: 2. Use Cauchy's Integral formula, Evalnate the following. • I= 6 Sin4Z :(Z-4)3 IZ1= 3 I = . tanttz…

A: Given

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A: To evaluate the given integral.

Q: 5) Evaluate the integral.cusc c for the constan6 of integrafion) 2(ean cx) +6an cx>) dx

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Q: 3dz 1. S 4-5z

A:

Q: 15. Which of the following is equivalent to the triple integral dz dydx in the order dydzdx? 32 31…

A:

Q: 3. [20 points] Calculate the integrals: (a) (b) |(2+ 4)(2r – 1)dz (c) (d)

A:

Q: 36-2 dzdx dy Rewrite the integral using the order dzdydx. (6x +36-1- 076 36-y 18 18 10 ² dzdydx dzdy…

A:

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: Consider the following. Ju-(5 - u? + u°) du Simplify the integrand by distributing u3 to each term.…

A: detailed solution is given below

Q: Evaluate the integral S dx 2x3 - 3xx 1 -In 2/2 "I/3x + /2 +C En(2 { x³ - 3x x)+c 1 V2 + V3x -In + C…

A: First we take common x3/4 then put√x=t  And using integration of 1/a2 - x2

Q: 2 dt 4+ t²

A:

Q: 19. fy/6 + 4y – 4y² dy

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Q: Evaluate the integrals

A: We have to evaluate the integral ∫0π21-cos2θdθ We know that, 1-cos2θ=2sin2θ Therefore,…

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A: Given,         ∫15s-9ds

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

A:

Q: 2. Use Cauchy's Integral formula, Evaluate the following • I= sin4z ,IZl= 3

A: I am attaching image so that you understand each and every step.

Q: Evaluate the integral S 3012 2/3 de using the two-point Gaussian quadrature rule. 1+16z4

A: Given integral is ∫−121221+16x4dx. We have to evaluate the given integral by using the two-point…

Q: -Sketch.the.regian.of.n.teg ratizım.and..evaluabe.theu.. fallowing. integrals 4 Idydx Ans.21.In2./2.…

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Q: Evaluate the integral " -2n 1+4cost dt. 17-8cost

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Q: Evaluate the integral Jzl=2(z-1)(z+1) az. enz

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Q: Specify the substitution you would choose to evaluate the integrals. √ √4-2t dt Ou=t Ou = 4-2t O u =…

A:

Q: find the product of the integral 1- Sn) xy evx² dydx

A: To evaluate the double integral, first find the integral ∫0ln7yex2ydy. Consider the substitution…

Q: Evaluate the integral of 3dx/(2x^2 + 4) from 0 to 0.2 * O 0.412 O 0.211 O 0.189 O 0.316

A: Evaluate definite Integral

Q: 1. Use the Table of Integrals in the back of your textbook to evaluate ∫11dx/x^2√16x^2+36 a.Perform…

A:

Q: Evaluate: (2x + 1)3 dx by two methods: 11) let u = 2x + 1 %3D 12) Expand (2x + 1)³ Compare the…

A: Integration

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: Evaluate the integral. 4 2t 9 -i- j+¬Vt k dt (9+?)*

A:

Q: 2 Evalu ate the fllowing integral - R Is the regiovi be undéd by the grapis x:2, y= x-5, and…

A: We will evaluate the required value.

Q: Evaluate the integral

A: ∫xndx=xn+1n+1+C

Q: Evaluate the integral a"(2* - 3) "de, 19 by making the appropriate substitution: u = 19

A: The given integral is ∫x3x4-319dx

Q: Evaluate the integral.

A:

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A: Given:

Q: 4 V16- !! Evaluate the iterated integral хуdydxdz. Do not round. Give the answer in the form of the…

A:

Q: 8. Evaluate the iterated integral. /8-z2-ya zdz dz dy

A: The given question can be solved as explained in step 2.

Q: Calculate the integral of 2 dt

A:

Q: / (292 + 7)* - vz de. 5 Compute the integral

A: We apply u substitution

Q: (§5.4, Q12) Evaluate the integral using FTC I: (5u* + u? – u) du.

A:

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

A: Given :∫-(9x2+7x)(x-1)(x+1)2dx

Q: Evaluate the integral. et dt e2t - 12et + 32 Inlet - sl -4 Inlet -4| + C e' Inlet - s| - ! e' In|et…

A: Given:            ∫ete2t−12et+32dt