O Po Find the indicated trapezoid approximations to the following integral. 10 4x dx using n= 2, 4, and 8 subintervals T(2)= (Simplify your answer. Type an integer or a decimal.)

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) e40…

A: We have to find

Q: c) Evaluate the following Integration by parts for definite integrals. S xe-5* dx ii) . '2 Sin-'dx…

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Q: Q6 // Using the Simpson's rule for multiple integrals, evaluate the following integral; I Vx + y) dx…

A: The given integral is:

Q: I. Evaluate the following integrals. cln 2 #3. sec-(e")dx

A: integration using integration by parts method if it is helpful appreciate me.

Q: (d) Evaluate dx exactly and show that the result is (Hint: substitute x = 4 tan u.) 1+ x2 Then, find…

A: Trapezoidal rule  (h/2)[f(x_0)+2(f(x_1)+f(x_2)+...+f(x_(n-1))+f(x_n)]

Q: dx ·J Ja(cos²(vx)) 1. .2 | x5 ln x dx 2. 3. arctan x dx

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Q: Q3/ Choose the correct answer to evaluate the following integral 1 dx I = 1 (1 – x+)Ź

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Q: e the definite integral that represents the area of the surface generated by revolving the cur x3 y…

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Q: Find the indicated Trapezoid Rule approximation to the following integral. TC sin dx using n = 6…

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Q: y=sin

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: 2. Evaluate the Trigonometric integral. C (a). S sin(2x) cosxdx. rT/2 (b). S cot?xcsc*xdx. T/4

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Q: Q1) Evaluate the following integral, using multiple segments trapezoidal rule with n=2 and 4 and…

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

Q: Q1) Evaluate the following integral, using multiple segments trapezoidal rule with n=2 and 4 and…

A: Given integral is ∫0π23+4cosxdx. Here, fx=3+4cosx and interval is 0,π2. When n=2 Then h=π2−02=π4…

Q: valuate the following Integral using trigonometric subsitutioi V441 –x? dx |441 –x² dx =O ype an…

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Q: 2. Approximate the following integral using Trapezoidal rule and Simpson's rule using the indicated…

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Q: Q2: Evaluate, numerically, the following integrals: T/2 sinx -dx by using Simpson's rule ( take n =…

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Q: 2х 3 2. Ver + 2 dx

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Q: Q2 - Evaluate the following integrals i. S cosx sin*x dx

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Q: If necessary, use two or more substitutionsto find the following integrals.

A: The given integration is I=∫0π2cosθsinθcos2θ+16 dθI=∫0π2cosθsinθcos2θ+16dθsubstitute…

Q: 1 dx becomes: Using a trigonometric substitution, the integral x* V1-x? Select one: Jcsc* e de Sante…

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A: The given integral,      ∫33316x-33dx

Q: a. Find the approximations T10 and M10 for el/ dx. b. Estimate the errors in the approximations of…

A: To estimate the value and the error using the midpoint and Trapezoid rule for 10 subintervals.…

Q: Calculate the integral approximations Te and M6 for f x° dx. Your answers must be accurate to 8…

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Q: Calculate the integral approximations T4 and M4 for L' (In æ)-1 dx. Your answers must be accurate to…

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Q: Given the following integral dx You will have to "pull out" at least 1 number before using the…

A: Given that,     ∫5x dx We have to evaluate it.

Q: s) Consider the integral dx. Answer ONE of the following two questions: (No simplification required)…

A: Here we have I=∫20324x2dx

Q: Approximate the following integrals using the Trapezoidal rule. -0.35 2 -dx x2-4 1. 2. Só x sin(x)…

A: 1.The given integral is, ∫00.352x2-4dx Here, f(x)=2x2-4,taking h=0.05 Let us construct the table as,

Q: Jse the Trapezoid Rule to approximate the integral V2+x* dx, n=4.

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Q: ) 1 1 dx x – 1

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Q: 2 Find the definite integral fo5 tan(x)dx using strips of width for the trapezium rule correct to…

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

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Q: Evaluate the integral. NOTE: Enter the exact answer. •3 •1 xe"y dy dx

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Q: Find the indicated trapezoid approximations to the following integral. 10 9x dx using n = 2, 4, and…

A: To find the integration by trapezoidal

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: Calculate the integral approximations Tg and Mg for (In x)² dx. Your answers must be accurate to 8…

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Q: Q4) Evaluate the following integral using Trigonometric Substitutions Method: 1- x dx y =

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Q: Approximate the following integrals using the Trapezoidal rule. r0.35 2 -dx x²-4 1. xp* 2. 5x sin(x)…

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

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: Given:  the integral is ∫0π22cos2xdx. To Find: It is required to approximate the integral using the…

Q: Approximate the following integrals using the Trapezoidal rule. c0.25 (cos x)? dx b. x In(x + 1) dx…

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Q: Use Simpson's to approximate the integral 2+x* dx, n=4.

A: The integral is ∫012+x4 dx, n=4

Q: The area of the surface obtained by revolving the curve x= Vy+4 for a-4.)

A: We have dxdy=12y+4

Q: Approximate the following integrals using Gaussian quadrature with n = 5, n = 10, and n = 50. Create…

A: The gaussian-Quadrature formulas are a group of numerical analysis methods for approximating the…

Q: For the function y In (6x) on the interval [1, 9], answer the following questions. (a) Give the…

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Q: Approximate the following integrals using the following methods. [*[*(x²y + xy²³)dydx a. Composite…

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Q: Q4) Evaluate the following integral using Trigonometric Substitutions Method: 2 y = - x dx

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Q: Which of the following integrals represents the arc length of the portion of the curve f(x)=8x2 + 3…

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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: Q2: Evaluate, numerically, the following integrals: a) T dx by using the trapezoidal rule ( take n =…

A: We have ∫05x1+x3dxTaking n=5, we getx0=0, x1=1, x2=2, x3=3, x4=4, x5=5we have f(x)=x1+x3f(x0)=0,…

Q: 1. Given ,(2x3 – 20x? + 67x – 70)dx find: a. An approximation using 4 left rectangles b. An…

A: The given integral is, ∫242x3-20x2+67x-70dx Number of rectangle is n=4.