Use Simpson’s Rule with to estimate the arclength of the curve. Compare your answer with n=10  the value ofthe integral produced by your calculator  y = cube root of x    1<=x <=6

Q: Find the indicated midpoint rule approximation to the following integral. 2 sin 5x dx usingn=6…

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Q: Set up an integral that represents the length of the curve. Then use your calculator to find the…

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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: Given,  y=xe-x+9

Q: Set up the integral for the arc lengthof the function,y=4/3x^3/2for 2≤x≤6if you integrate with…

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Q: Set up an integral that represents the length of the curve.Then use your calculator to find the…

A: We first find the derivative of y

Q: Determine the exact arc length, L, of the curve y= In (sec x) on the interval 0 <x <T/4. L = Please…

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Q: arc length of y = e,0 << 2

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

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Q: Find the arc length of the graph of the function over the given interval:

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Q: Let f(x) = 9x4 calculator to approximate the value. - 1 over the interval 0 < x < 3. Set up the…

A: Given: f(x)=9x4-1 0≤x≤3 Definition: Arc length for function f(x) on interval [a, b] is…

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

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Q: Find the definite integral o tan(x)dr using strips of width for the trapezium rule correct to three…

A: Trapezoid rule

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

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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: y = xe¯ª, 0 < x < 2

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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…

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Q: Set up an integral that represents the length of the curve. Then use your calculator to find the…

A: The equation of the given curve is x=y-5y where 1≤y≤4. We know that the length of a curve x=gy where…

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

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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: y = x – In x, 1<x

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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: (b) Find a definite integral that represents the arc length of the curve over the indicated interval…

A: (a). Sketch the graph.

Q: Write the integral that would be used to evaluate the arc length of the given curve on the specified…

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Q: Use the Trapezoidal Rule with n = 4  to approximate integral 0 to 20  tan  (pie x) dx. Compare your…

A: ∫020tanπxdx a=0, b=20 n=4 ∆x=b-an⇒∆x=20-04⇒∆x=5

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

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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…

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Q: For the function f (x) = 1/4ex + e-x, prove that the arc length on any interval has the same value…

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Q: Use Simpson's Rule with n = 4 to estimate the arc length of the curve y = 0.5e-2x, 0 <x < 2. L = Só…

A: The curve, y=0.5e-2x, 0≤x≤2.

Q: Set up an integral that (if solved) would give the arc-length of the following curve on the given…

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Q: Evaluate the definite integral that represents the area of the surface generated by revolving the…

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

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

Q: . Find the arc length of the following curve on the given interval by integrating with respect to x.…

A: Given an equation of a curve  as shown below, we need to find the length of the arc  from [1,2].

Q: Find the arc length generated on the interval starting at 3 and ending at 9 for the function y =…

A: The arc length of a function f(x) from a to b is: L=∫ab1+dydx2dx

Q: Write the integral that gives the arc length of y = cos x for –3 < x < 8. The use a midpoint Riemann…

A: Given that,            y = cosx , -3⩽x⩽8 Then     dydx= -sinx Since we have the formula to find the…

Q: Find the indicated midpoint rule approximation to the following integral. S. -- dx using n= 8…

A: The limit for the integration is 1 to 2. So, the interval for the midpoint Riemann approximation is…

Q: Set up an integral that represents the length of the curve. Then use your calculator to find the…

A: The length of curve is calculated using the formula, L=∫ab1+dydx2dy

Q: Set up an integral to find the arclength of the curve y = ln(x) over the interval [1,5]. Use an…

A: To set up the integral for arc length (S), use the formula for arc length:…

Q: Set up an integral that represents the length of the curve. Then use your calculator to find the…

A: Given: Limit , 1 to 4    Function : x = √y - 2y

Q: Set up the integral for the arc lengthof the function,y=43x32for 2≤x≤6if you integrate with respect…

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

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Q: By finding an antiderivative, evaluate the integral, where the contour is any path between the…

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Q: Set up an integral that represents the length of the curve.Then use your calculator to find the…

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Q: Evaluate the definite integral that represents the area of the surface generated by revolving the…

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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: The definite integral that can be used to find the arc length of the curve y =x-2 on the interval…

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Q: (b) Using the Trapezoidal rule with four strips (intervals), estimate the integral | sin (r/2) dr .…

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

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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: given that x=y+y1/2+2  we need to find the arc length using simpson's rule with n=10. the arc length…

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.