Find the Riemann sum of f(x)=x^2-4x-12 on [0,9], where the partition number is n=3 and use the right endpoints for sample poir

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: Find the upper Riemann sum U(f, P) and the lower Riemann sum L(f, P) for each of the following…

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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: 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: Calculate the midpoint Riemann sum. f(x) = , +1 on [2,7]; n = 5

A: In the question we have to calculate mid point Riemann sum. As asked by student we have to find part…

Q: Find the lower bound of sum 2-1 using an integral

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

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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: Estimate the area under the graph of the functionf (x) = Va + 5 from z = -3 to a = 5 using a Riemann…

A: Given: fx=x+5x=-3 to x=5n=10 The area under the graph of the function f(x) in the interval [a, b]…

Q: Compute the definite integral as the limit of Riemann sums, Verify by FTC, and using Desmos. 19) y =…

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Q: Use a trapezoid Riemann Sum (with four non-zero sub intervals) to approximate the area bounded by…

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Q: Use Riemann sum to evaluate the definite integral: 2 | (2x + 1)dx where n = 0.4

A: ∫abfxdx ≈Δ xfx0+x12+fx1+x22+fx2+x32+...+fxn-1+xn2,  where Δ x =…

Q: use a finite sum to estimate the average value of ƒon the given interval by partitioning the…

A: The given function is fx=x3 on 0, 2

Q: Find the area bounded by the curve y = x² – 6x + 5 and the x-axis from -2 to 2 using %3D Riemann…

A: area bounded by curve using Riemann sum

Q: Use a midpoint Riemann sum with n = 200 to approximate (2x2 50x + 2)dx. Round your -2 answer to four…

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Q: Estimate the area under the curve by calculating the lower sums from x = 0 to x = 2 with n = 2. %3D

A: Riemann Sum:The midpoint rule (also known as the midpoint approximation) uses the midpoints of a…

Q: Use the Riemann sum with n = 2 rectangles to approximate dr. Round to 3 decimal places.

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Q: Use a Riemann sum with m = n = 2 to estimate the value of 5xe-XY dA, where R = [0, 2] x (0, 1). Take…

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Q: Calculate the left Riemann sum for the given function over the given interval using the given value…

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Q: Estimate the area under the graph of the function f (2) = Vz +2 from z = -1 to z Riemann sum with n…

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Q: Find the Riemann sum for f(x) = x + x², –2 < x< 0, if the partition points are -2, – 1.5, –1, -0.7,…

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Q: Determine the exact area of the region bound by the graph of f(x) = −x^2 + 5 and the x-axis on…

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Q: Use a trapezoid sume with n=1 to estimate the area of the region trapped between f (x) = sin x +1 on…

A: Given,         f(x)=sinx+1;          0, π2

Q: Estimate the area under the curve by calculating the upper sums from x = 0 to x = 2 %3D with n = 2.

A: Consider the following function: fx=2-x-22 Area of the curve: A=∫abfxdx Substitute a=0 and b=2 in…

Q: Use Riemann sums and a limit to compute the exact area under the curve y = f(x) = 2x2 + 1 on the…

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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: Suppose f(x, y) = /xy and R is the rectangle with vertices (0,0), (6,0), (6,4), (0,4). In each part,…

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Q: Calculate the midpoint Riemann sum. 1 f(x) = on [2,7]; n = 5 %3D

A: f(x)=1x on [2,7] ; n=5

Q: Use a Riemann sum to approximate the area under the graph of f(x)=2e−x on the interval 1≤x≤2 using…

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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: Evaluate the definite integral: | (2-)dz using limit of the Riemann sum.

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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: .5 Estimate the middle Riemann sum for 1 dx (n= 4). 3 1-lnx

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Q: Suppose f(x, y) = /xỹ and R is the rectangle with vertices (0,0), (6,0), (6,4), (0,4). In each part,…

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Q: Find the 4th midpoint Riemann sums of function f(x)= x^2 -3x +2 on (1,3) _____ with respect to a…

A: Given function  f(x)=x2-3x+2  on (1,3) Here we find the 4th mid point Reimann sum ,so we…

Q: If fx) = x-2, 15xS6, find the Riemann sum with n= 5 correct to 3 decimal places, taking the sample…

A: To find- If fx = x - 2, 1 ≤ x ≤ 6, find the Riemann sum with n = 5 correct to 3 decimal places,…

Q: 14. Approximate the integral 1 dx by using a Riemann sum with a partition of three subintervals of…

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Q: Find the Riemann sum for f(x)  =x3 -1 , -1 ≤  x  ≤1, if thepartition points are -1 ,-0.5, 0, 0.5, 1…

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Q: Find

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Q: b. Using right Riemann sums with 5 subintervals, approximate the net area bounded by the function…

A: We have to divide [-4,6] into 5 subintervals.  So each interval is of width= (6-(-4))/5= 2 So the…

Q: Estimate the area of the region bound by the graph of f(x) = x^2 + 3x and the x-axis on [2,5] using…

A: The solution is given below

Q: 7. Write down and evaluate a Riemann sum with 4 terms that gives an upper estimate for 8 SZ+1 -dx.…

A: Given, ∫08x+1x+2dx

Q: Let R = [0, 4] × [-1,2]. Create a Riemann sum by subdividing [0, 4] into m = 2 intervals, and [--1,…

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Q: 4 Estimate the area between the function y = + 3 and the a-axis on the interval [3, 7] using 4…

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Q: Determine the exact area of the region bound by the graph of f (x) = –x² + 5 and the x-axis on [-1,…

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Q: Divide the interval (-1, 1] into four subinterval of equal length and compute the left-endpoints…

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Q: What is the Riemann sum of f(x) over [2,10]with n-4 partitions and mid-points for sample points?

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Q: Find the limiting value of lower sum approximations to the area of the region R below the graph of y…

A: We have to find the limiting value of lower sum approximations to the area of the region R   We…

Q: Using the right-hand endpoint with n = 8 to write the Riemann Sum that describes the estimation of…

A: Given: n = 8 f(x) = x2 + 1

Q: Calculate the Riemann Sum for the integral using n= 4. x-dx x*dx -4

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.