Use Simpson’s Rule with to approximate the givenintegral. Round your answers to six decimal places integral 0 to 4  cot 2x dx                 with n=2

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Q: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule,and (c) Simpson’s Rule to approximate the given…

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral…

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Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the + 7) dx, n = 4 5 Exact…

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Q: Evaluate the integral.  integral  cot  3 x  csc 4  x  dx

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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: 4 6 cos(7x) dx, n = 10

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Q: The arc-length of the curve y= Vcos(4t) dt, for 0<x<; is given by which of the following 8…

A: We will use the formula for Length of the arc and fundamental theorem of Calculus.

Q: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule,and (c) Simpson’s Rule to approximate the given…

A: Consider the following equation: ∫0211+x6dx,   n=8 Here, fx=11+x6, a=0, b=2 The width of each…

Q: Evaluate the integral.  integral  cot  3 x  csc x  dx

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Q: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule,and (c) Simpson’s Rule to approximate the given…

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Q: Use the Midpoint Rule with to approximate the givenintegral. Round your answers to six decimal…

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Q: Use the Midpoint Rule with to approximate the givenintegral. Round your answers to six decimal…

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Q: Evaluate the following definite integrals arccos y dy. Show complete solution of points o…

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Q: Given the definite integral 2 -dx ,with h = 0.1 (x + 1)2 1.1 Find the error bound when using the…

A: NOTE: According to guideline answer of one method can be given, for other please ask in a different…

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Q: Use the Trapezoidal Rule and Simpson’s Rule to approximate the value of the definite integral for…

A: Given  ∫02x2dx ,n=4 First evaluate the integral using Trapezoidal rule…

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A: Find error

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Q: Evaluate the double integral: So Son VV (Hint: Change the order of integration to dy dx.) sin(7³) dr…

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Q: Use the midpoint rule with the given value of n to approximate the integral. (Round your answer to…

A: Use the Midpoint Rule with the given value of n to approximate the integral.

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Q: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule,and (c) Simpson’s Rule to approximate the given…

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

Q: Use the midpoint rule with the given value of n to approximate the integral. (Round your answer to…

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Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

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Q: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the…

A: Simpson's method is used to approximate the value of definite integral by dividing the interval into…

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A: Given Data : Equation of Curve y=x3, 1≤x≤6     To Find : Arc length of the curve. The expression for…

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral 14 In(x)…

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Q: Estimate the value of the definite integral + 2) dx by using the Trapezoidal Rule. (Round your final…

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Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

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A: Midpoint approximation of a function f is given by the formula with given values as.

Q: Determine a definite integral that represents the arc length of r = 2 cos(0), 0 < 0 < do

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Q: Find a definite integral that represents the arc length. r = 4 sec(0) on the interval 0 < 0 < 3 π/3,…

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Q: Use Simpson’s Rule with n = 10 to estimate the arclength of the curve. Compare your answer with the…

A: Given equation of the curve is y=x sin(x) ,      0≤x≤2π

Q: r = 3 cos 0

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.