If the Midpoint Rule is used on the interval [- 3,27] with n = 3 subintervals, at what x-coordinates is the integrand evaluated?

Q: Use the trapezoidal rule with five subintervals to approximate the area described by the integral…

A: To use the trapezoidal rule to approximate the area described by the below integral. ∫01sinh2xdx

Q: see the equation as attached here

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Q: Use the Midpoint Rule with n = 4 to approximate the integral. √x + 5dx = [Please enter your answer…

A: Here we have to use the midpoint rule

Q: Approximate the region under the curve f(x) = x^2 by using the Riemann sum with 3 intervals using…

A: Given, upper limit= b=14 lower limit = a= 2 number of intervals= n=3 We first have to find the width…

Q: Approximate the region under the curve f(x) = 2x + 1 by using the Riemann sum with 3 intervals using…

A: Width of each interval= (21-3)/3=18/3=6 so the partition is 3,9,15,21 For left Riemann sum we take…

Q: Estimate the area under the graph of f(x) = x² + 3x +1 over the interval [3, 5] using five…

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Q: Find the area of the region bounded by f (x) = a /20 – 3x – 2x² and the x -axis using Right Riemann…

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Q: Use a Riemann sum to approximate the area under the graph of f(x) = 4x on the interval -2sxs2 using…

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Q: use the limit of the Riemann Sum to find exacct area under the curve. fCx) = 4 x [2,5]

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Q: Use the p-test to decide if the following integrals converge or diverge. If it converges finds its…

A: Topic:- application of integration

Q: The area between y = x and r-axis on the interval -1, 1 with right endpoint rectangles is O…

A: We need to choose correct option.

Q: Approximate the integral by the right Riemann sum, using a partition having n = 12 subintervals of…

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate…

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Q: 3+ In(2x) dx Vx-1

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Q: State the Comparison Theorem for Improper Integrals. As well, use it to determine whethe I+ 2 dr…

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Q: If the Midpoint Rule is used on the interval[-4,8] with n= 3 subintervals, at what x-coordinates is…

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Q: Use the Midpoint Rule with n= 3 to approximate the integral. S √x + 1dx = [Please enter your answer…

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Q: Use the Midpoint Rule with n = 3 to approximate the integral 6.

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Q: Estimate the area under the graph of f(x) = x² + 2x + 1 over the interval 1, 6 using four…

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Q: Determine the number of subintervals that will ensure an approximation error of less than 5x 10 when…

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Q: Use a Riemann sum to approximate the area under the graph of f(x)=2x3  on the interval 2≤x≤4 using…

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Q: Choose True if the statement is correct, otherwise False. A left-endpoint Riemann sums will always…

A: To check: Whether a left-endpoint Riemann sums will always result to underestimation of the area…

Q: A brief calculation shows that if 0<=x<= 1, then the second de-rivative of ƒ(x) = sqrt(1 + x4)…

A: The Given information is,

Q: is Convergent divergent. Evahate Determine whether each those that are integral or Converyent. 1 dx…

A: The given integral,        ∫0414-xdx

Q: Find the area of the region bounded by and the x -axis using Midpoint Riemann Sum with 8 equal…

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Q: а) 5 4х x² + 4 sin (x)| .2 3

A: Given integral is ∫354xx2+4sinxdx Take Note:- As per our guidelines, we'll answer the first one as…

Q: Use the Midpoint Rule with n approximate the integral. 10 [." √x + 2dx = = 3 to

A: Given that: ∫410x+2dx

Q: If the Midpoint Rule is used on the interval [-1, 11] with n = 3 subintervals, at what x-coordinates…

A: Consider the interval a,b=-1,11n=3. The length of interval, ∆x=11+13=4 Class intervals…

Q: To apply the Midpoint Rule on the interval [3, 11] with n = 4, at what points must the integrand be…

A: Given: The interval  [3, 11]  with n = 4. To find: The points must be integrand be evaluated.

Q: Estimate the area of the region bounded bythe graph of ƒ(x) = x2 + 2 and the x-axis on [0, 2] in the…

A: To Estimate: The area of the region bounded by fx=x2+2 and the x-axis on 0,2using Right Riemann sum…

Q: How many subintervals are required to ensure an approximation error of less than 5 x 10-6 when…

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Q: Use the definition of the definite integral to evaluate approximation to generate the Riemann sum. 3…

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Q: Find the area under the curve f(x) = 3x+ 1 over the interval [2, 6] with n = 4 by using right end…

A: Given f(x)=3x+1, a=2, b=6, and n=4.

Q: - Use intarmediate value theorem to show that there is a root to the equation. casx=X in fhe…

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Q: Estimate the area under the graph of the function f(x) = sin(x-5) from x=5 to x=6 using a Riemann…

A: We have to find the area under the graph of the function f(x) = sin(x-5) from x=5 to x=6 using a…

Q: 3 , evaluate the improper integral dr. x2 + x – 2 Does it converge or diverge? Justify your claim.

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Q: The area bounded by the curves: у-х, у-6-х аnd у-0.5х is:

A: see below the answer and explanation

Q: Express the integral Jaz Cx3-5x) dx as a limit of the 1. niemann Sum using n subintervals of eawal…

A: Given: ∫-12(x3-5x)dx

Q: If the Trapezoid Rule is used on the interval [-1, 9] with n = 5 subintervals, at what x-coordinates…

A: Let f(x) be continuous on [a, b] into n equal subinterval each of width, ∆x=b-an

Q: What is the approximate area of the given function using the Midpoint Riemann Sum placing 5…

A: This is a problem related to integration. Based on the reimann mid point sum formula we will answer…

Q: Compute the integral by the adaptive trapezoidal quadrature method (must use the recursive for-…

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Q: Use the Max Min inequality to show that the given definite integral cannot possibly be equal to 2.

A: Given: The definite integral, ∫01sinx2 dx.

Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 3-meter intervals as…

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Q: Use the trapezoidal rule with five intervals to evaluate the integral i √√√-1da, correct to four…

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Q: Approximate the integral by the right Riemann sum, using a partition having n = 9 subintervals of…

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Q: Use the Riemann sum with the standard partition and rectangles made by right endpoints for each of…

A: In this question we have ∫02(2x-x3)dx By using Riemann integral we can find the area between any…

Q: Determine whether the improper integral diverges or converges. Evaluate the intergral if it…

A: To determine the provided improper integral is convergent or divergent then if the integral is…

Q: Use the Midpoint Rule to estimate the integral. n=4

A: Since we have been given up the integral ∫191xdxOur aim is to estimate the integral till n=4 using…

Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

A: To evaluate: ∫0π2tan θ dθ For that, first of all, find ∫tan θ dθ

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.