Question 14 7 da Calculate the integral: 7a - 6) (x + 2) 8. a) ㅇ윽피-6-mlz + 21 + C 7. b) O In r 6|-In|z + 2| + C In|a + 2 +C 8 7 e) O-Inlz - 6|-In|z + 2| + C In|a + 2 +C 4

Q: O Coleulate te in kegual using the Cauchy Integral Theoren e (2)2(2-0)

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Q: Use reduction formulas to evaluate the integrals in Exercises

A: Evaluate the following: 45. ∫4tan32x dx46. ∫8 cot4t dt

Q: Prove without calculating the integrals explicitly that V1 + x³dx < | V1 + x²dx

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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: Evaluate the integral. * T/3 3 sec 0 tan 0 de In/4

A: Given that the integral is ∫π4π33secθtanθdθ. It is required to evaluate the given integral…

Q: Evaluate the integrals in Exercises 69 : (2r – 1) cos V3(2r – 1)² + 6 -dr V3(2r – 1)2 + 6 69.

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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: Evaluate the integrals using fundamental theorem. | (2 sint – 24) dt

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

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

A: Given:

Q: The improper integral da is given by: Az-5 Select one: sec((b-2)/3) O a. 1 lim 3b 100 soc(4/3) Csc 0…

A: The given proper integral is;  I=∫6∞1x2-4x-5dx

Q: 2. Use the fundamental theorem of calculus part 2 to compute the integral 1° dr. 0,

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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

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Q: 2. Sketch the region of integration of the given integral Q in #1. Set up Q by reversing its order…

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

A: Definite integration problem

Q: Evaluate the integral. "T/3 8 sec 0 tan 8 de IT/4

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

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Q: hat should be the rewrite of the integrand of ((2x+5) dy so that the resulting integral is…

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

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Q: Define Riemann integral in R^3

A: Partitions of an interval-   The partition of an interval [a, b] is a finite set P of points…

Q: Calculate the integral ∞∫−∞dxx2+4.

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Q: 2. Prove or disprove that Z, xZ, is integral domain.

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Q: calculate the 4-) integrals rdr a-) b-) (x2-9r+20)dr (-3)a

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Q: Use the substitution z = tan (6/2) to evaluate the integrals in Exercises 41 and 42. 42. 41. esc @…

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Q: Evaluate the integrals in Exercises

A: 47. ∫sech2x-12 dx48. ∫ csch25-x dx

Q: dr 5. 2 ?+3 2

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

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Q: Explain Bessel equation and Prove that 2 (n + 4)Jn+4x (i) (ii) In+3X + Jn+5X = 4J"n = Jn-2 – 2Jn +…

A: The objective is to explain Bessel equation and prove that  (i) Jn+3x+Jn+5x=2xn+4Jn+4x (ii)…

Q: Calculate the integral: /3 arctan(x) dr a) O 3x arctan x – In(1 + x²) + C b) O3 In | arccos x| + C…

A: we will apply the integration by parts rule: ∫(u·v) dx=u∫v dx−∫u'∫v dxdx And we also use…

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

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

Q: Show in paper. Find the integral of (2xcot(x) csc²(x)) dx.

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Q: Evaluate the integral of * | cot 2x csc* 2x dx esc* 2r -jesc* 2x + C -cot 2x -cot* 2x + C O Option 2…

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Q: Use (3) from Section 5.4 to evaluate the integral. In 2 ex dx = /1

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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: Use the results of Section 5.2 to compute the following definite integral: 4x2 dx %3D

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Q: Evaluate the integral (2³ + 1)'/³,³dx.

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Q: In(y) Evaluate the iterated integral: ye 4xdxdy. Show all of your work.

A: To evaluate the iterated integral. ∫12∫0lnyye4x dx dy

Q: evaluate the integral using the methods covered in the text so far.

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Q: 1. √2x+1 -15 2. So √x+1dx -0.5 3. 5x(1-2 4. fx√x-3 5. fx √x+1

A: The given integral is  ∫015xx+1dx

Q: Evaluate the integralt uie dr using the two-point Gaussian quadrature rule. 1416z | e - je 0 O o o O…

A: For the integral I=∫abf(x)dx, the Gauss quadrature 2-point formula is, I=b-a2w1fm1+w2fx2 where…

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: 9. Convert ¹42(4-4x²-y²)dydr into a triple integral with dV = dydzdx.

A: Here we conside the limits of x nad y then we try to find the limit of z for which after integrating…

Q: ($5.7, Q20) Write the integral in terms of u and du. Then evaluate. sec? x tan x dx, U = tan x.

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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.

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

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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