Question 7. Obtain the integrals of the functions f(x), entering your answers in the specified form, where c is an arbitrary constant. Part 1. f(x) = V(2x + 5)7, S f(x) dx = A(2x + 5)P + c, where A =| ,p= Part 2. 11 f(x) = V(4x – 3)5 Jf(#) da — B(4х — 3)9 + с, where B 3 The values of A, B, p, q are fractions or integers.

Q: Question 16 Evaluate the definite integral - 6 2x2 + 5 d.x 3 194/6 86V3 5 > Next Question

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Q: FULL SCREEN PRINTER V Chapter 6, Section 6.6, Question 055 Use integration by substitution and the…

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Q: FULL SCREEN PRINTER V Chapter 6, Section 6.6, Question 057 Use integration by substitution and the…

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Q: Q4\ Use Laplace transform to solve differential equation in figure below: dx + 3x = e dt -2t subject…

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Q: Question 26 Determine the integral: x²cosxdx A x²sinx-2xcosx +2sinx + C B x²sinx + 2xcosx-2sinx + C…

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Q: Question 3 Determine whether the improper integral converges or diverges. 14e5x dx A Diverges B…

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Q: Question 003: Complete the following question involving Substitution Method. Given the integral dx…

A: Given the integral  I = ∫ 5 sin(4x-1) dx By substitution method, Take u = 4x-1 du = 4 dx  dx = du4

Q: Question 001: Complete the following problem involving Basic Integration Find the following General…

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Q: 15. Use differentials to approximate V143.7

A: Use of differential

Q: Question 8 Set up an integral for the length of the curve yV1+x on 2 sxs3. x2 dx 9(1+x-)5/3 x2…

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Q: Question 3 Calculate the following integrals: (6х-5)dx 3.1 I = S V3x²-5x+6 dx 3.2 I = S; 1+vx+1

A: Topic:- indefinite integration

Q: EXAMPLE 4 Use the Table of Integrals to find SxVx² + 4x + 11dx. Since the table gives forms…

A: now complete the square ................first answer

Q: Question 3. Compute the following integrals. 3.1. S(4x2 – 1)'x dx - 3.2. Sx e5x dx 3.3. S x?cos xdx

A: 31) The given question is =∫(4x4-1)4xdx now first of all simplify the function. (4x4-1)4=(4x2-1)22…

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Q: Question 014: Complete the following question involving Integratin by Parts Method. Given the…

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Q: Q-3: Find the general indefinite integrals of: 1. S cos ntcos(sin(at)) dt 2. SVx +2x dx s dx 3-2x2-4…

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Q: Question 13 Evaluate the integral: f (z² + y²) ½ dydz -1/2 O v2 + In(v2 + 1) O In(v2- 1) O v2 -…

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Q: Question 13 | (10x+x*- 2r3– 3x2-6x+5)dx is equivalent to The definite integral A 2 (x-3x2+5)dx |…

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Q: QUESTION 5 dx Compute the integral Jx-2)(x-3)(x+2) by showing all the details of your work. Attach…

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Q: QUESTION 3 a) Evaluate (x²In|x + 1dx by using integration by parts. x³ In(x+1)_ 1 x° 3 3 3 x2 +x-…

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Q: Question 1 Evaluate the following integrals using residue theorem: Lx (2² + 9) (2² + (b) 2³ sin uz…

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Q: Question 14 7 da Calculate the integral: 7a - 6) (x + 2) 8. a) ㅇ윽피-6-mlz + 21 + C 7. b) O In r…

A: Given that: ∫7(x-6)(x+2)dx

Q: Problem no.3: Use Simpson rule’ 1/3 Method with (n = 6) to compute the integral below: 1.3 5x e-2x…

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Q: Question 6. Evaluate the indefinite integral 1 - dx. J x(x² + 2x + 2)

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Q: Question 15 9 Calculate the integral: / 4 - 81 dx a) o inla* – 81| + C 1 arctan 18 1 х — 3 - b) + In…

A: see 2nd and 3rd step.

Q: Example 6. For what value of A, the function g(x) = 1 + 1x is a %3D solution of the integral…

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Q: Question 20 In evaluating |x V4-x dx by substitution, if u =4-x then what will be the resulting…

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Q: QUESTION 1 Solve the following integrals using any appropriate method of integrations: а) xIn(3x…

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Q: QUESTION 3 3 Given the double integral, e dxdy. 0 3y

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Q: Question 6 Evaluate the integral by using a substitution prior to integration by parts. In (9x +…

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Q: Problem 4. Let f : R –→ R be a twice differentiable function. Consider the first order differential…

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A: Given,

Q: Work Problem 1 Evaluate the integral 13 (x+3)°dx

A: Topic = Integration

Q: Question 14 If we let 4=V5+x, the integral -1 is equivalent to V5+x

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Q: 25. f(x) = {1 0<x< 0, sx<1

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Q: Example (1): Evaluate the integral In x dx Solution: let

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Q: Question 5. For this question consider the standard result: 1 ;du = tan¬1 u + u? (1) Only using (1)…

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Q: Question 2: Use the Green's theorem to solve $(v² +3x² \dx+2xdy which bounded by x=0,y=0 and 4(x² +…

A: We find the given integral by using Green's theorem.

Q: Question 2 Set up an integral for the length of the curve y=V1+x? on 2 sxs3. x2 1+ dx 4(1+x)3/2 x2…

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Q: 3) 1 Use an integrating factor to solve dy - by 25/4 = X with y(i)=-2

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