Q3. Evaluate the following two integrals using both the simple trapezoidal method and once using Simpson's method and compare the results obtained with the result obtained analytically: 1. a+1 1 dx K = [ Vĩ dx 2.

Q: Evaluate the following integral.

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Q: Q3/ Choose the correct answer to evaluate the following integral dx 1 1 o (1 – x*)ž 1- I = 4 r 2-1 =…

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Q: 2. Compute the following. When evaluating the definite integral, change the limits of integration.…

A: (a).  The given integral is: ∫x21+x35dx

Q: Q1: Evaluate the following integrals by substitution dx 1. e cos e*dx dx 3. J 2x- 3

A: Solve by substitutions

Q: a) If | f (x) de f(x) dx = 2, find 1 (3f(a) – 1) de. = 7 and || - /4 (b) Estimate the value of the…

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Q: 1. Approximately compute the value of the following integral, as accurately as possible, using the…

A: Note:- Here, you mention function f(x) is creating little bit confusion for me. Is…

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

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Q: Q2/ Find the value of the following integrals: 1- |((x+y)dx + (y – x)dy), when cis given by, x = cos…

A: The integrals in the form ∫C(x+y)dx+(y-x)dy involve the integration over a particular curve C. In…

Q: Question and its 3 parts are attached with this.

A: a) we substitue 9-x^2=t

Q: "valuate the following integrals using substitution(s) 1. S 2x(x² + 1) 23 dx use u =x + 1 2. [4e5*…

A: The integral formulae are ∫ddxxn=xn+1n+1+c∫ddxeax=eaxa+c

Q: Q2. Use integration by parts method to evaluate the following integrals. 1. dx 2. S cos x? dx -dx 2…

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Q: valuate the following Integrals 1 -3 +1 dx 4secx tan x- 2 sec? x)dx .3 dx x² +1

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Q: Q4: Solve the following integrals:- dx 4dx (1) f 2+cos x (2) J sec xesin x (3) Sx sec? x dx dx (4) )…

A: Indefinite Integration

Q: c) Evaluate the following Integration by parts for definite integrals. -5x dx хе 3 ii) . 2 Sin-dx i)…

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Q: Evaluate the following by changing the order of integration: 5 sin(y*) dy dx. 5x

A: First we change the order of integration and find limit of integration.

Q: Q2 Find the integral for the following : dx 1 1-5 2- fe-*sec? (ne-*)dx 3- S dx 2vx+2x 1+e*

A: We have to find the Integral for given expressions. 1. ∫dx/(2√x + 2x)  2. ∫e-x sec2(πe-x)dx  3.…

Q: Q1) A-Evaluate the following integrals: 1) S (cos x / sin? x) dx. 2) S (2x+4)/3 dx, use x-0 to x-2.…

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Q: Demonstrate that for the function of the type va? + x2 you use the substitution X-atane and use it…

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Q: Evaluate the given integral using the substitution (or method) indicated. (Use C for the constant of…

A: The integral is  ∫ ex/8 dx

Q: Q1 (a) Evaluate the integration of the following functions: (iii) | (3x3 – 2x 2+1)sinh 2x dx by…

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Q: For the given integral (x+1) dx V (x+1)2

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Q: A. Evaluate the following integrals using the different methods of integration dx 1. (9 + x²)3/2

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Q: Evaluate the given integral using the substitution (or method) indicated. (Use C for the constant of…

A: By using substitution we calculate the given integral.

Q: Using an appropriate substitution, the integral f e cos(e* + 1) dx is equal to:

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Q: valuate the following integral: x2 + 5x + 6 dx. J ( – 1) (x2 + 3) |-

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Q: By making an appropriate substitution, which of the following integrals is equal to dx J* (x² – 9)52…

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Q: Evaluate V16-x² dx dx be? Explain Then, what would the value of the integral 1+V16-x 0.

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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: 6. Sx²e3x*dx 7. Sye-v*dy 8. S sin2x ecos 2x dx 9. S 10-3*dx 10. S a²Ydy

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Q: Evaluate the following by changing the order of integration: 4 4 cos(y²) dy dx. 2.

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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: valuate the following integrals: dx (a) x² Vx² – 16 -

A: As per guidelines we have to solve one question

Q: Suppose you want to evaluate the indefinite integral 2x2020 da using integration by parts. Which…

A: We will apply integration by parts formula by choosing appropriate functions as u and v.

Q: Si (e0.5x +sin2x)dx, use n = 4

A: Solution

Q: Q3/ Find the integral x e* dx by using trapezoidal and simpson methods with an error of no more that…

A: According to question given :Integral ∫01x ex dx by using trapezoidal and simpson 38 methods with An…

Q: Q3/ Choose the correct answer to evaluate the following integral dx = J。aーメ

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Q: Apply the method of substitution to integrate the following integrals: dx I = ; a. Va²-x² b. I = [(1…

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Q: Integrate the following integrals. c) dx (Use Substitution method) d) Sx' In xdx (Use by Part…

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Q: Evaluate the following by changing the order of integration: •3 sin(y?) dy dx. (6 marks)

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Q: 2. Evaluate the following by changing the order of integration: L' L 40² a dx dy. 2y

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Q: 1. Use the trapezoid rule to approximate the following integrals: (using n = 4 subintervals) a. (x³…

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

A: Kindly go through the explanation

Q: 5. Evaluate the indefinite or definite integrals: 1 arctan y e а) dy 2 1+ y 1 b) [ dx (Use Trig Sub)…

A: According to the question answer guideline the expert suppose to answer the first three subparts of…

Q: Find the indefinite integral. (Use c for the constant of integration. |(ei + 3tj + 16t°k) dt

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Q: 1 (a) for e³x+4 dx Evaluate the following integrals using an appropriate method: (b) √ (3a² +…

A: Given,∫01e3x+4dxLetI=∫01e3x+4dxPut 3x+4=uDifferentiate3dx=dudx=du3As x→0 then u→4As x→1 then…

Q: 1. Approximate the following integrals using the Trapezoidal rule. c0.5 a. dx 1.5 x Inx dx c. 2x dx

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Q: Q1. Evaluate the following integrals. Dfxe" dx (2)f(x +1)e"dx (3)f(2x -3)e-*dx (4

A: As per our guidelines , we can only solve first three sub-parts of a question. Please repost other…

Q: A. Evaluate the following integrals 1. 2. L. 3. , e*dx dx dx -1 x2/3 4. SE tanodo -4 dx

A: solution:-Q.(4) ∫-∞π2tanθdθsolving the improper…

Q: Q2/ Find the value of the following integrals: 1- [(* |(x+ y)dx + (y - x)dy), when c is given by, x…

A: The line integral ∫CF1dx+F2dy involves the integration over a specific path. In this problem, we…

Q: -4 I cosx (0.25x² + 1.90)dx,use n =3

A: Given:        ∫14cosx0.25x2+1.90dx , n=3 The formula for the Trapezoidal rule:…