21) Find the number of compositions M needed so that the error of the integral 2.2 In(x + 2) dx is less than 10-8,using composite Simpson method.

Q: Solve the following problems on bond papers (maximum 3 bond papers) with ½ inch margin on all sides.…

A: According to rule of bartleby we can solve only 1st problem and if your require another one kindly…

Q: Find the smallest integer n to guarantee that the error in using Tn to approximate | e dx is e less…

A: The integral is ∫01ex2dx  The error of Tn is obtained by the formula is E=-b-a212n2f''c We want…

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A:

Q: Use Taylor’s formula with a = 0 and n = 3 to find the standard cubic approximation of ƒ(x) = 1/(1 -…

A: The given function is,

Q: 4 Given the integral: Jo 1+x² dx. Evaluate using Romberg's method. Tolerance = Nx10-6

A: Given integral, I=∫014 1+x2dx To find: Value of integral using Romberg's method

Q: У (2ху + 1)dx — хӑу %3D 0 ||

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Q: 1 Use the integration formula ax dx = ax + C to find 4* dx and simplify. In(

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Q: Use the composite Simpson's 1/3 rule with step length h = 0.4 to estimate I = In(2 +3/x) -dx, 12…

A: To use the composite Sympsopns 1/3 rule with step length h=0.4.

Q: (c) Use the Composite Simpson's rule with N = 4 to approximate the integral in part (b) and compare…

A: The formula for composite Simpsons rule in our problem is h3f(x0)+4f(x1)+f(x3)+2f(x2)+f(x4)

Q: Use a suitable method to evaluate the following integral. х5 — х4 — Зх + 5 | dx x4 – 2x3 + 2x² – 2x…

A: Here I am attaching image so that you understand each and every step.

Q: ⌠31 (e0.5x + sin2x) dx. use n=4 ⌠41 cosx(0.25x2 + 1.90)dx, use n=3

A: As you didn't mention any question, we will only answer the first parts of these questions. Please…

Q: g integral. dx

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

Q: Find the integral for the following : 3- Sdx dx 1 1- : 2- S e-*sec² (ne¯*)dx 2Vx+2x 1+ex

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Q: The definite integral is equal to O 2 [²x Select one: 4 O f₁²₁x² dx + ₁ + x² dx none of the others ○…

A: ∫02 x2dx here we have to find equal to this. split the integral into two  use formula  ∫a  b f(x)dx…

Q: 1. Evaluate the integral 5x + 1 dx 2x2 - x -1

A: We can evaluate the given integral by using the partial fraction method.

Q: 47) Estimate the minimum number of subintervals needed to approximate the integral 2 S (7x4 - 1x)dx…

A: Estimation of minimum number of intervals

Q: 1 7. Evaluate the integral -dx using Simpson's method and also find the error comparing ó x +9 with…

A:

Q: Evaluate the double integral 1 2x+1 LL.** Select one: | None of them 113 x² dy dx

A:

Q: 2. a) Evalute the following improper integrals 6. dx 3 3

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the integral. S. 4 x* - 3 dx 14 4 x* - 3 dx = 14

A:

Q: By using the reduction formula. integration by parts, one can prove (In (x>)>'dx = x Clncx)^-n…

A: Given formula or integration by parts method: ..............................................(1)

Q: Evaluate the integral dx (8x + 3)3 by making the appropriate substitution: u = 8х + 3 dx (8x + 3)3…

A: Recall:    ∫un du=un+1n+1+c ; where c is an integration constant.

Q: Evaluate the integral (2a+4)(x² + 4x + 2)*dx 4 by making the substitution u = x+ 4x + 2. ,2

A: Let u=x2+4x+2, now differentiate it with respect to x. du = (2x+4)dx So,…

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

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Q: the integral S(x³ – 2x – 1)e-*+1dx is equal to:

A:

Q: Calculate the percent error of: |(1.2 - x)(1- e20(x-)( 20.1) dx a. Using rectangular method when…

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Q: by taking |In x · dx: solution of the integral with Simpson's 1/3 method Inx n = 2 which one? 1

A:

Q: state what method applies and how one applies it, but do not evaluate the integral:

A: To Determine: state what method applies and how one applies it, but do not evaluate the integral:…

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: 17 Evaluate the integral: SERV - dx x²√x² + 25 (A) Which trig substitution is correct for this…

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Q: a) Determine the number M and the interval width h so that the Composite Simpson Rule for 2M…

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Q: Use the composite Simpson's 1/3 rule with step length h = 0.4 to %3D estimate I = [ S" In(2 +3/ã)…

A: Given that, the integral is ∫26ln2+3x1+x2dx and step length is h=0.4=25. From the given integral,…

Q: Evaluate: (2x + 1)3 dx by two methods: 11) let u = 2x + 1 %3D 12) Expand (2x + 1)³ Compare the…

A: Integration

Q: Consider the IVP: x" + (x')² +5tx = 0, x(0) = 2, x'(0) = 3 Using the Euler method with a time step…

A: We apply the Euler's method to find the solution we apply the transformation U'=V and V'=-V^2_5tU,…

Q: Find the general solution to the DE using the method of Variation of Parameters: у" - Зу" + Зу'…

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Q: Use the composite Simpson's 1/3 rule with step length h = 0.4 to estimate In(2 + 3/x) dx. 1+x² I =

A:

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

A: Solution

Q: The value of pi can be approximated by calculating the integral: 0 to 1 of (4/(1+x2)) dx Calculate…

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Q: find the integral 4V2 (4 – x³)/² dx 3

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Q: Evaluate the following integral. dx 1+ e2x - In 13 ex dx = 2x 1+ - In 13 (Type an exact answer.)

A: ..............(1) take ................put it back in equation 1

Q: Use the composite Simpson's 1/3 rule with step length h = 0.4 to estimate In(2+37) -dx, 1+x?

A: According to the fundamental theorem of calculus ∫x0xnf(x)dx=F(xn)-F(x0), where dFdx=f(x). The…

Q: Evaluate the integral               0∫3 (−0.5x5+3.9x4−8.1x3+2.7x2+5.9x+1.5)dx using  four-point…

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Q: 2. Test for exactness and find the complete solution of n dx + {In(2x – 2) + dy = 0 - (х-1)

A:

Q: 7. Evaluate the integral. Vx2 – 25 dx х3

A: First we will make a trigonometric substitution of x=5*sec θ then we will solve it and integrate it.…

Q: by taking n = 2 • dx solution of the integral with Simpson's 1/3 method which one?

A:

Q: In x dx

A: Given: ∫lnxx2dx Integrate the given integral using the integration by parts formula.

Q: 5 Only one of these calculations is correct to evaluate the definite integral x² In(x) dx 1 Using…

A: First we have to find h and it's corresponding formula.

Q: Only one of these calculations is correct to evaluate the definite integral Vx+1 dx Using the…

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Q: Using Simpson's method Vx dx for n=4 is equal to

A: We have to evaluate ∫01xdx for n=4.

Q: Solve the integral: (A) B D In (2x² + 3x −4) ³ (4x + 3) dx integral: Sela (2x² + 3x-4 E In (2x² +…

A: