Using the right-hand endpoint with n = 8 to write the Riemann Sum that describes the estimation of the area bounded by the curve f (x) = x² + 1 , the x – axis, and the lines = 0 and x = 2.

Q: Find the area of the region that is enclosed between the curves a = y and x= y - 2 integrating with…

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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: Find the area A of the region that is bounded between the curve f(x) = -2 sin () and the curve g(x)…

A: Given that we have to find the area of the region that is bounded between the curve f(x)=-2sinx4,…

Q: | (2² – 4x). (2* — 4г) dx 1

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Q: se a definite integral to find the area of the region between the curve y = 12x and the x-axis on…

A: Given query is to find the area under the curve for the function.

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral In(tan…

A: We need to find the approximate values of ∫π4π2ln(tan(x))dx using trapezoidal and Simpson rule given…

Q: Find the total area between the curve y = 1- x2 and the x-axis over the interval [0, 2). Evaluate…

A: for (i) first we need to identify the region and the limits for integral to calculate the area.…

Q: 4. Evaluate the integral using Trapezoidal and Simpson's rule with h = 0.5, 0.25 and 0.125. = 1+ 2x3…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral In(tan x)…

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Q: The area of the region outside the curve r-2+2sin0 and inside the curve r-6sin0 is given by which…

A: given:- r=2+2sin∅ r=6sin∅

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: Find "(x2 + 3)dx using the definition of definite integral (i.e. using a limit of Riemann sums).

A: Solve the following integral

Q: 5) Approximate x²-1|dx with a right-endpoint Riemann sum using four equal subintervals.

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

Q: Can you help with this problem step by step?

A: We know that area of the region bounded by curve y=f(x) and x-axis from x=a to x=b is

Q: Find the area of the loop of the curve y2=x3 (1-x)6. Show complete solution of points of…

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Q: Find the average value of the given function from x=0 to x=1. Sketch graph of the function, roughly…

A: Average value of a function y=f(x)  from x=a to x=b is given by Aavg=1b-a∫x=ax=bf(x)dxsee below the…

Q: Using the left-endpoint Riemann sum with 4 equal subintervals, estimate the area of the region…

A: Here fx=ex+e-xwe need to calculate the left reimann sum over the interval -1,3 by taking 4 equal…

Q: Can i get help step by step with this problem?

A: Given,

Q: R; Being the 1st region of the coordinate plane between the y = x line and the y=x² parabola,…

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Q: Q: Using the trapezoidal rule, and dividing the interval of integration into three equal…

A: Introduction :

Q: Use a definite integral to find the area of the region between the curve y = 16x and the x-axis on…

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Q: Find the area under the curve y = sin √x /√x between x = π^2/4 and x = π^2

A: Given function

Q: 2 (F(x) + x³)dx = ? %3D -1

A: Given that the area under f(x) in [-1,2] is 10br2 So,

Q: Use a definite integral to find the area of the region between the curve y = 6x and the x-axis on…

A: Given the curve y=6x. We need to find the area of the region between y=6x and the x-axis on the…

Q: Approximate sin(x) dx using a Riemann sum with n 3 terms and the midnoint rule.

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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: 1. Find the area of the region bounded by the curves y=sin X16 , y = 0, and x = 6 obtained by…

A: topic - Area bounded by curves

Q: Set up a definite integral to find the length of the curve  y= (3/4)x(4/3) - (3/8)x(2/3) over the…

A: The given curve is,

Q: Using the left-endpoint Riemann sum with 4 equal subintervals, estimate the area of the region…

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Q: Approximate the integral using the indicated rule. 36 0 x2 dx; midpoint rule; n = 6

A: We have to find approximate value of integral.

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

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) z2 dz 8 + z3

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Q: 15- 10+ 0,5 1.5 25 1.

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Q: Give the Riemann sum approximation for the definite integral S° dx using n = 4 subintervals and left…

A: Left reimann sum

Q: 3. Use a definite integral to find the area under the curve y = 5 + 2x over the interval [-2,1] and…

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Q: Jcos(2x)+ sin(0.5x) Using riemann compute for the integral of F(x) = tan(3x) sum over the interval…

A: We can solve this using Riemann sum

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

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Q: 4. Let f(x) = x^3 over the interval [0, 1]. Find the surface area of the surface generatedby…

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Q: An area is bounded by the x^2+10y-1600 curve  and the -xaxis. Find the moment of inertia (in units4)…

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Q: Q7. Using Simpson's Rule evaluate the integral (√x+1) dx using 8 subintervals.

A: In this question,  we have to evaluate the integral ∫08x+1dx using 8 subintervals by Simpson's Rule.

Q: Evaluate the integral. (Use C for the constant of integration.) dx Press F11 Graph the integrand f…

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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: Set up the definite integrals to compute the arc length and the surface area formed by rotating the…

A: The function is f(x)=4-x2 and the interval is [-2, 2] Equation of line is x=3.   To find: The arc…

Q: Q1) Using numerical integration to estimate the area (r=4 )and c(4,0) with n=4 of the semicircle

A: Trapezoidal rule: One of the most significant integration rules in Calculus is the "Trapezoidal…

Q: Evaluate the integral 8(x – 9) J (x + 5)(x – 2) ** Note: Use an upper-case "C" for the constant of…

A: Solve by substitution and simplify.

Q: Approximate the integral using the indicated rule. 36   0x2 dx; midpoint rule; n =

A: To evaluate:∫036x2 dxUsing midpoint rule using n=6

Q: Find a bound on the error in approximating the definite integral us dx; n = 10 (a) the Trapezoidal…

A: Here we have, I=∫144xdx; n=10 ⇒f(x)=4x ⇒a=1, b=4, n=10