4. S2-*(5 – x)³dx

Q: dx XV 16x4 – 1

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Q: 14 Find the integrals using integration by parts. Lx(x + 4) dr --2

A: Given that:(a) ∫x(x+4)2dx

Q: Evaluate the following integrals using the required method of integration. Show complete, clear, and…

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Q: 3. Reverse the order of integration in S(2xy + 1)dxdy and then evaluate.

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Q: Find the value of the following integrals using the method of residues. 00 .2 x + 3x + 4 Lo (x² +…

A: To find - Find the value of the following integrals using the method of residues.

Q: 34. x sec xdx

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Q: Find the indefinite integral. (Use C for the constant of integration.) dt t4 + 1

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Q: 10x Selar. 20x dx 1- °

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Q: Evaluate the integral. (Use C for the constant of integration.) 9e2x dx 1 + eX

A: Given,           ∫9e2x1+exdx

Q: 1.Sx cos² xdx

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…

Q: Evaluate the integral. (Use C for the constant of integration.) dx x2 + 25

A: SOLUTION-

Q: evaluate the following indefinite integrals using appropriate integration formula

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: sin (x), dx b) J∞ 4+x²

A: Given improper integral: ∫-∞∞sinx4+x2dx Let x2=4tan2θ         x=2tanθdx=2sec2θdθ Substituting these…

Q: 2 x - 5 dx * (x-1)3

A: Use given conditions find required result  And integration of 1/x w.r.t x is logx

Q: Evaluate the following integrals by first reversing the order of integration. 8 2 √° ²₂ √² + 1 dr dy…

A: Given Integral, I =∫08∫y1/32x4+1dxdy and the region of integration is, 0≤y≤8 ,y1/3≤x≤2 Graphically…

Q: 4. Calculate the following integrals by using the integration methods. (4x* + 8x3 + 15x)dx (a) dx…

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Q: Find the integrals below. а) / 5x dx b) S x2-3x + 2 dx X+1 dx c) S

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Q: 1. Evaluate S(x + y)dxdy by reversing the order of integration.

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Q: ydy V16–9y* 4

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Q: T6 Based on the image attached, differentiate each of the following integrals with respect to x.

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Q: Q3: Reduce the integral Sx³J2(x) dx to integration in terms of Jo(x)

A: To find - Reduce the integral ∫x3J2x dx to integration in terms of J0x.       Formula used - Bessel…

Q: Evaluate the integral. (Use C for the constant of integration.) 5V 25 + ex dx

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Q: Q2: Evaluate the integral by integrating the equivalent reversed order : 12 ex dydx 1 e

A: The given double integral is, it is asked to reverse the order and integrate.

Q: Evaluate the integral. (Use C for the constant of integration.) х dx x2 + x + 3

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Q: Find the integrals below. a) |e2x dx b) S 3 dx

A: We have to find integrals of a)∫e2xdx b)∫3xdx

Q: „ysin ydy 1/2

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Q: Estimate the errors in the approximations for T10 and M10 of the integral from 1 to 2 of e1/x dx,…

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Q: Exatuate the integral pvz O√3 √4-X² √EX 9 (√x ² + y² dy dx

A: Evaluation of double integral by conversion to polar coordinates.

Q: (1 – 3|x|) dx -2

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: -x-4x+18 -dx (3x+4)(x*+9)

A: We have to solve ∫-x2-4x+183x+9x2+9dx We first simplify the integrand before integration.

Q: Evaluate the integral. (Use C for the constant of integration.) 8x 8 dx 8x e

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Q: Q2 – Evaluate the following integrals. 1 vi. S7 dx (sinhx+coshx)2

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Q: Find the following integrals. Do not add any constants of integration, as the resulting functions…

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Q: 2) Colculate the following integrals lby integration by ports formula. a) S2x log,x dx 3

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Q: [x²√√x + 17 dx

A: ∫ x2x+17dxLet u=x+17.=∫u-172udu=∫ u52-34u32+289udu=∫ u52du-∫ 34u32du+∫…

Q: Evaluate the following IMPROPER INTEGRALS, It is optional to double check your answers/solution for…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 2+(ln x)3 5. J x(In x)2+In x) ах

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Q: Determine the approximate integration of the following using simple & modified trapezoidal,1/3…

A: Only one question or maximum 3 parts are allowed . I did 1st integral , for other 1 please repost

Q: Q2: Evaluate the integral by integrating the equivalent reversed order : 10 ex dydx 1 e

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Q: Evaluate the following integrals using integration by parts method: x sin 2x dx

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Q: 2. Reverse the order of integration and then evaluate. So S, x² sin(xy)dxdy а.

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Q: For which of the following integrals should substitution be used, instead of Integration by Parts?…

A: Solution :option D substituition be…

Q: Approximate the following integral with n = 4 using trapezoidal rule. 2 dx |x|Vx² – 1 1.5

A: The trapezoidal rule uses trapezoids to approximate the area. The formula below is used to evaluate…

Q: 8. Evaluate the integral by using a substitution prior to integration by parts. xp- Vx² + 18 - 9 m…

A: Given query is to find the value of the integral.

Q: Evaluate the integral. (Use C for the constant of integration.) 4e2x dx 5 + ex

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Q: 1. Evaluate S Vx3 +1 dx dy by reversing the order of integration.

A: Given:

Q: 1. | (In x)² dx_ Use integration by parts.

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Q: Evaluate the integral. (Use C for the constant of integration.) 7 In(x) dx 4 + (In(x))?

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Q: Evaluate the integral. (Use C for the constant of integration.) | VER-X² dx 81 x

A: