5. Given the integral expression below: rt/2 | (8 +4 cosx) dx Evaluate its value, a. analytically b. using Trapezoidal Method with i.n=20 ii. n=40 iii. n=60 Calculate the %error for each value of n.

Q: Q3. Find the value of the following integration using Simpson method of integration: dx;n=6 √2x+1

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Q: Q5) Find the integration by using (by part method): Se3x sin X dX

A: We can solve this using part method

Q: 2. dx find this integral by using Simpson's rule e

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Q: a) Use the Simpson's rule to approximate the following integral x Inx dx.where n 6 b) Find the bound…

A: The integration of the function can be approximated using the Simpsons rule. The formula for the…

Q: State what method should be used in solving the followings (either the substitution rule or the…

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Q: a) 1+x? dx approximate the integral for 1, 2 and 4 intervals with Simpson's method. b) 1+x2 dx…

A: ∫01 dx1 + x2  To Find:  approximate the integral for 1, 2 and 4 intervals with Simpsons method…

Q: 1. Solve the following integral by using the Integration by Parts. (a) x sin x dx (b) e 2x sin 2x dx

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Q: 1. Find the following antiderivatives. (a) [² cosh x + 1 sinhx dx

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Q: Q5) Find the integration by using (by part method): S e3X sin X dX

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Q: Find the indefinite integral. (Use C for the constant of integration.) fe- cos 90) de

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Q: 4. Use a suitable numerical method to estimate , xln(x)dx, using h = 0.4. Use 4 decimal places in…

A: Here we will use right Riemann sum to estimate the integral  Given a function f(x) that is…

Q: How large should n be to guarantee that the Simpson's Rule approximation to 19ex2 is accurate to…

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Q: 2. Given the integral: 4 -dx. Evaluate using Romberg's method. Tolerance = Næ10-6 %3D 1+x²

A: Romberg code: #include <stdio.h>#include <stdlib.h>#include <math.h> double F…

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to x* + 6x° + 24æ? 3x –…

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Q: dx When evaluating the definite integral / Te why must you 16 – x2" choose the antiderivative–coth…

A: Given:              ∫68dx16-x2 why must you choose the antiderivative 14coth-1x4 rather than…

Q: 4 .Find the value of e dx, taking 6 subintervals by Simpson's rule.

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Q: I Evaluate the following expressions by basic integration: dx 2. ,(x + 3)(x – 4)dx

A: Given

Q: | 5 cos(x²) dæ a) Approximate the definite integral with the Trapezoid Rule and n = 6. b)…

A: (a)Trapezoidal Rule ∫abf(x) dx=∆x2(f(x0)+2f(x1)+2f(x2) + ... +2f(xn-1)+f(xn))where ∆x=b-anConsider…

Q: J cos(2x)e2x dx (recurring)

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Q: | 17e dx is accurate to within 0.0001? How large should n be to guarantee that the Simpson's Rule…

A: let f(x)=17ex2 differentiating four times to get fiv(x) because the fourth derivative will be non…

Q: 1. | х-? dx Solution:

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Q: In the given equation as follows, use integration tables to find or evaluate the integral :- see the…

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

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Q: 5. Given the integral expression below: T/2 (8 + 4 cosx) dx Evaluate its value, a. analytically b.…

A: This is a problem of Numerical Analysis.

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 8 | (- 2* + 20z – 96z?…

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Q: 2 od So (x + 2)²0 pidal method dx for n=4 is equal to Blank 1 (use 2 decimal places with proper…

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Q: Q4: Solve the following integration corrected to 3 decimal places using: 1. Trapezoidal rule 4…

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Q: Q1) Find the following integrals } 1) S sinh2x sinhx+1 dx 1

A: To solve the given integral

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

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Q: Q.5. A. U. Simpson's 1/3 rule to find the following integration: 7 300 O,dx) by dividing it to four…

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Q: 12 »4 Evaluate the integral dx dy by reversing the order of integration. NOTE: Enter the exact…

A: Given:    Double Intergral is given

Q: In(2x + 2) · dx a) Use Trapezoidal rule with n=4 to approximate the integration b) Estimate the…

A: Given function is ∫04ln2x+2·dx   a) fx=ln2x+2 h=b-an=4-04=1 The function values are  x 0 1 2 3 4…

Q: Approximate the following integrals using Gaussian quadrature with n = 3 and compare your answers to…

A: The Gaussian quadrature 3-point formula is  ∫abf(x)dx≈b-a259f(x1)+89f(x2)+59f(x3) Where,…

Q: Q2]Using Simpsons1/3 rule for evaluation of sinh(e¬*) dx use n = 4 andwork to 5 decimal place?

A: The formula for Simpson's 13 rule is: ∫abfxdx=∆x3fx0+4fx1+fx3+...+fxn-1+2fx2+fx4+...+fxn-2+fxn Here,…

Q: Q4: Solve the following integration corrected to 3 decimal places using: 1. Trapezoidal rule 4…

A: The given integral is 4/sqrt(x), limit from 1 to 5.

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

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Q: Given 4 cos(x²) dx 2 How many Trapezoids will you need to estimate the definite integral to an…

A: Given the integral I=∫24cosx2dx. (a) We need an accuracy of 0.001 when the Trapezoidal rule. The…

Q: a) The shaded area is 0• er+2 dx -2

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Q: Q4: Find the integration for the following functions: - (answer three only) sin(lnx) dx 3-…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 3. Use the composite trapezoidal rule and Simpson's rule, each with 10 subintervals, to estimate sin…

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Q: 22. Given that sinh 2 =, the value of cosh z is A. +- В. D. 4

A: Given: sinh x=34

Q: Q4: Find the value of the following integration 4 dx 1+x2 By using (Answer one only) a- Trapezoidal…

A: I have solved using Trapezoidal Rule.

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 14x – 60x? – læ + 3)dx…

A: Since you have posted a multiple question according to guildlines I will solve first  question for…

Q: Q1: Find the value of the following integral | (1- x)3. ev dx

A: The given integral is: I=∫0∞ (1-x)3 ex dx

Q: Step 2 1 To find the integral S H x cos 8x dx by the parts formula, use u = x and v = Apply the rule…

A: This is a problem related to integration. Based on the general formula of integral by parts we will…

Q: To compute the definite integral 2xes dx we should use Select an answer with u = and dv = | dx The…

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Q: You plan to approximate the definite integral, 10 (8x + 3)?dx using both a left and right sum. Which…

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Q: Q3. Find the value of the following integration using Simpson method of integration: dx ; n=6

A: As per the policy of bartleby the provisions is to solve only one question now I am solving question…

Q: First make a substitution and then use integration by parts to evaluate the integral 7x°e" dx Note:…

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