Use a Riemann sum to approximate (x + 6) dx by using five subintervals of -2 equal width, and taking the sample points to be the right endpoint of each subinterval.

Q: Approximate / |x – 5| dxusing a midpoint Riemann sum with 3 subintervals of equal length.

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Q: Using the left-endpoint Riemann sum with 4 equal subintervals, ed above by the curve f(x) = 1 and…

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Q: Q3) Use Riemann sum to evaluate the definite integral: 2 | (2x + 1)dx where n = 0.4

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Q: Estimate the value of the definite integral /,* - dx. Use the Right Riemann Sum with 3 subintervals.

A: Given interval is [1, 4] We have to divide this into 3 subintervals.  So the width of each…

Q: 2. a) Estimate the area bounded by the curve and the x-axis on [1, 6] using the 5 equal subintervals…

A: As per our guidelines, we are supposed to solve only first subpart. Kindly repost other subparts as…

Q: A heavy rope, 60 ft long, weighs 0.7 lb/ft, and hangs over the edge of a building 150 ft high. (Let…

A: We will find the the required work by a Riemann sum.

Q: 4. Determine the Riemann sum M, using the Midpoint Rule withn = 4 in order to approximate the…

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Q: Find the Riemann sum of f(x)=square root of x on [4,9] with 4 subintervals and right endpoints.…

A: To find the Riemann sum using right endpoints

Q: Use a trapezoidal sum with 3 subintervals of equal width to approximate the value of ∫012 g(x)dx.

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Q: Show that the midpoint Riemann sum for f(x) = x from 0 to 4 with n equal subintervals is E(4i – 2)°.…

A: Show the following

Q: Approximate the area under the graph of f(x) = x^2 + 2 over the interval [0, 4] with 4 subintervals…

A: From the given information, it is observed that a = 0 and b = 4 and f(x) = x2 + 2. Note that,…

Q: Approximate the area between the graph of f(x)=x^3 and the x-axis on the interval [3,5] by using a…

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Q: Find the upper sum for f(x)=sin(x) over the interval [0,π/2] with n=6. Round your answer with three…

A: Given: The given function is fx=sinx. To determine: The upper sum of the given function over the…

Q: Find the area of the region bounded by e21.2.png f(x) = = a/4 + 3x – x² and the x -axis using Left…

A: Left riemann sum  ∫ab  f(x)dx≈Δxf(x0)+f(x1)++f(x2)+....+f(xn-1)+f(xn)

Q: Estimate / (-In (-a³ +x² + 4)) dx using a left-hand Riemann sum and 6 subintervals of equal width.…

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Q: Find the Riemann sum for  f(x) = 2x − 1,    −6 ≤ x ≤ 4,  with five equal subintervals, taking the…

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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: Find (x³ + 2x²) dx using the Riemann sum.

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Q: (a) Find an approximation to the integral (x2 - 2x) dx using a Riemann sum with right endpoints…

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Q: consider the integral 1² +5) dx 3 x a) Riemann sum using right endpoints and n=4 b) Riemann sum…

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Q: Use the requested method to approximate the definite ir Use the method of left Riemann sum with n =…

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Q: Find the formula for the Riemann sum obtained by dividing the interval [ – 1, 0] into n equal…

A: To find the formula for the Riemann sum by dividing the interval in n equal sub intervals. The given…

Q: Evaluate the Riemann sum for f(x) = 3 – -x, 2 < x< 14, with six subintervals, taking the sample…

A: Given: f(x) = 3 – ½ x, 2 ≤ x ≤ 14, with six subintervals.

Q: Evaluate the Riemann Sum for f(x) = x² 0<x <2 with four equal subintervals using right-hand…

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Q: Estimate the area of the region bound by the graph of f (x) = x² + 3x and the x-axis on [2, 5] using…

A: The area under the graph of f(x)=x2+3x is to be calculated using the right-reimann sum on the…

Q: DEvaluate the Riemann sum for f(x) = x- 1, -6<x<4, with five subintervals, taking the sample points…

A: A function is given that is f(x) = x - 1. We have to find the Riemann sums for f(x) on the interval…

Q: Evaluate the Riemann sum for f(x) = 2x – 1, -6 < x < 4, with five subintervals, taking the sample…

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Q: If f(x) = ex - 5, 0 <x< 2, find the Riemann sum with n = 4 correct to six decimal places, taking the…

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Q: Find the Riemann sum for f(x) = x - 1, -6 < x < 4, with five equal subintervals, taking the sample…

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Q: f(x) = 124x − 31 over [0, 2], n = 4 Calculate the left Riemann sum for the given function over the…

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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: Evaluate the Riemann sum for f(x)=3.8-x^2 over the interval [0,3] using six subintervals, taking the…

A: To find riemann sum , first we divide interval [0, 3] into six Subinterval

Q: Find the Riemann sum of f(X)=Vx on [4,9] with 4 subintervals and right endpoints. Round to the…

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Q: Evaluate the Riemann sum for f(x) = 1 – x, 2 < x < 14, with six subintervals, taking the sample…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Use the definition of the definite integral to evaluate ∫02 (3x2 +1)dx. Use a right-endpoint…

A: As a first step, let's plot the graph of the curve given to us. Let's call the curve y = f(x) = (3x2…

Q: use linear approximation to estimate the given number L( x) =f(a) +f'(a )(x-a)(2.003)^4IF…

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Q: Find the formula for the Riemann sum obtained by dividing the interval [ - 1, 0] into n equal…

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Q: Use the Riemann Sum to find the area of the region bounded by the graph of f(x)=tan(x/6) and the…

A: Sol:- Given function, f (x) =Tanx6 , x -axis, x∈[o,2π]area bounded by given curves = ∫02π Tanx6dxlet…

Q: Use the requested method to approximate the definite integral. Use the method of right Riemann sum…

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Q: 1) Approximate (3+x-x²) dx with a left-endpoint Riemann sum using four equal subintervals. 2)…

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Q: (a) Find an approximation to the integral  ∫04      (x2 -3x) dxusing a Riemann sum with right…

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Q: A heavy rope, 40 ft long, weighs 0.3 lb/ft and hangs over the edge of a building 90 ft high. (Let x…

A: Our aim is to find the work  done(W) in pulling half the rope to the top of the building.

Q: The integral (16x² + 96x + 144)dx is approximated by the following left endpoint Riemann sum (each…

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Q: Evaluate the Riemann sum for f(x)  =3 -1/2x , 2 ≤ x ≤14 ,with six subintervals, taking the sample…

A: Given that, The formula to find left Riemann sum: Where x0, x1, x2 , ..., xn-1 are the left…

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

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Q: 4. Determine the Riemann sum M, using the Midpoint Rule with n = 4 in order to approximate the…

A: According to Riemann midpoint rule:

Q: Determine the Riemann sum using L4 over the interval [-1,1]. y = 3x² - 2x + 1

A: Given function isy=3x2-2x+1_____(1)  , interval [-1,1]n=4 then,Δx=b-anΔx=1--14Δx=12

Q: If f(x) = 3x2 - 8x, 0 sxs 3, evaluate the Riemann sum with n = 6, taking the sample points to be…

A: solution

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.