Calculate SN given by Simpson's Rule for the value of N = 6. 1 cos (4x?) dx (Round your answer to six decimal places.)

Q: 45) Find an upper bound for the error in estimating | 5x cos x dx using Simpson's Rule with n = 6…

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Q: II. Perform the integration. sinh?(e-") 4. e# cosh(e-¤) dx

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Q: sin(5лz) dx

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Q: Find the indefinite integral.

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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: (c) Prove, using the definitions of sinh and cosh in terms of the exponential function, that…

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

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Q: 35. G(t) = sinh(In t) %3D

A: We have to find derivative

Q: sinh x - cosh? x is equal to O e- -1

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Q: Evaluate dx by using Simpson's 1/3, taking n= 4, correct to four decimal places log,(e)

A: Consider the integral  ∫45.21log5exdx

Q: Q2: find the integral of trigonometric function cos sin* dx

A: Given the integral is ∫0πcos5xsin4xdx

Q: Find the approximate value of cos59 with the help of differential. w

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Q: After integration by parts we have e70 cos(80) d0 e70 sin(80) d0.

A: Explained below

Q: 1. The air in a certain room 150 x 50' x 12' tested 0.2% CO2. Fresh air containing 0.05% CO2 was…

A: Solved below

Q: / (3cosh m 2 cosh m sinh mdm +e°

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Q: Use Simpson's rule with n = 6 to approximate %3D cos(a) dx 0.08 Keep at least 2 decimal places…

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Q: 6) Using gamma function, evaluate So 6 хе 2x dx

A: Introduction: Gamma function is an integral function that is defined through an integration. The…

Q: (b). S cos (logx)dx. COS

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Q: Find the following indefinite integral: ∫ x1/3 sin(x4/3-8) dx

A: Given,            ∫ x13sin(x43-8)dx

Q: A particle travels along the x-axis such that its position is given by x(t) = t0.8 cos (2t). What is…

A: We have to find the velocity in this question.

Q: Calculate the higher derivative. (Use symbolic notation and fractions where needed.) d? 8 cos (1) =…

A: To find,  d2 dt28 cos2(t)

Q: Use Simpson's rule with n = 4 to approximate cos(r) -dx Keep at least 2 decimal places accuracy in…

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Q: L = {cos (–5t)} L = {e-3t sin (5t) } 5 s2+25 (s+5)+9 s2– 25 (s+3)+25 s2+25 (s+3)–25 s2+5 (s+5)+25

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Q: Evaluate the integral (exact value). e3x sin(10x) dx = %3D

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

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

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Q: Given that S." sin xdx = 2, find the average value of the sine function on the interval [0, π].…

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Q: 2. In π 2 π ln - 4 e* cos(ex) dx

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Q: 6. (a) e' sinht (b) 3e2 cosh 4t

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Q: Evaluate the integral (exact value). e3x sin(6x) dx %3D

A: Integration By Parts Formula

Q: Estimate the error if S3 (Simpson's rule with n= 8) was used to calculate sin(2x) dx . a) O lerror|…

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Q: Use Simpson's rule with n = 6 to approximate cos(a) dx Keep at least 2 decimal places accuracy in…

A: The solution is given below in the next step:

Q: e² sin® (e²) cos' (e²)dx

A: According to question,Given Integral,Let I = ∫ ex sin6ex cos7ex dx

Q: cosh(2x) = cosh?(x) + sinh² (x).

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Q: Find the approximate value of /2 S sin (x) da using Simpson's Rule with eight intervals, quoting…

A: The given problem is to estimate the approximate value of integral using Simpsons rule with eight…

Q: (c) Prove, using the definitions of sinh and cosh in terms of the exponential function, that…

A: The solution is given as

Q: Prove the following (sinh x + cosh x)^= e%x cosh?x-sinh?x = 1

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Q: Determine : L[te t sin 10 t]. 20s 20(s +9) (s² +100)? [(s +9)? +100]? A.) B.) 20s 20(s +9) (s+9)(s²…

A: We know that the Laplace transform; a). If Lft=Fs then Leatft=Fs-a b). Ltnft=-1ndndsnLft And…

Q: Question 3: Use Simpson's rule to evaluate the following definite integral: dx using n= 8 as sin x+2…

A: to evaluate the given integral

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: Evaluate the following definite integral. arctan dx

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Q: •4 Estimate the error if S6 (Simpson's rule with n= 6) was used to calculate sin(2 x) dx . a) O…

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Q: Calculate SN given by Simpson's Rule for the value of N = 6. I cos(2x² ) dx (Round your answer to…

A: given the expression is , SN given by simpson's rule for the value of N=6 ∫01cos(2x2)dx

Q: is equal to A Inr+ B ln s where A = and where B =

A: Given expression :

Q: Calculate SN given by Simpson's Rule for the value of N = 6. cos(3x²)dx (Round your answer to six…

A: given integral :

Q: Given that ſ♫ sin xdx = 2, find the average value of the sine function on the interval [0, π]. Also,…

A: Please see the below picture for detailed solution .