(a) Find an approximation to the integral (x2 - 3x) dx using a Riemann sum with right endpoints and n = 8. Rg = > f(x;) Ax, where Ax = (b) If f is integrable on [a, b], then and x; = a + i Ax. Use this to evaluate f(x) dx = lim — Зx) dx.

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A: We have to find (a) using a Riemann sum with right endpoints and n = 8 the value of the R8 and (b)…

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

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Q: (a) Find an approximation to the integral (x2. - 6x) dx using a Riemann sum with right endpoints and…

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A: We will use Riemann sum approximation to find required values

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A: Given problem is :

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Q: Suppose that the n-th Riemann sum (with n sub-intervals of equal length), for some function f(x) on…

A: Sn = 2n2∑k=1nk Sn = 2n2[1+2+3+…. . ...  +n] Sn = 2n2xnn+12 Sn=n+1n f(x) = x+1x

Q: mcory amu LAampIOS 45. Finding an upper limit of an iterated integral Solve for a: 1-x² ¢4-x²-y 4 dz…

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

A: Solve the following integral

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

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A: Given that, y=ln1+x2 To estimate the area under the curve from x=0 to x=12, use the second Taylor…

Q: Suppose that the n-th Riemann sum (with n sub-intervals of equal length), for some function f(x) on…

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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: 1. Consider the function f(x) = x - 4 on the interval [-2,2]. Calculate the Riemann sum using: a.…

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Q: (a) Find an approximation to the integral (x2 - 3x) dx using a Riemann sum with right endpoints and…

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A: Here we use the formula for definite integral :

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Q: b2-a? Sx dx = by evaluating the Riemann Sum. %3D 2.

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Q: 2. Using the definition of the definite integral as a limit of the Riemann sum, evaluate S, 3x + 1…

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Q: 28 Estimate I (-3x + 7x)dx using a Riemann sum, midpoints, and n = 3 subintervals.

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A: Part(b) ∫04(x2-5x)dx [Integral to limit: ∫abf(x)dx=limn→∞∑ i=1nf(xi)∆x] ∆x=b-an=4-0n=4n…

Q: 3. Express the given integral as the limit of a Riemann sum but do not evaluate: So (x³ - 6x) dx.

A: Solution:-

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Q: At the point of discontinuity on(0, 00), the Fourier Sine integral converges to: OA None f(x+) -…

A: Here  At the point of discontinuity on  0,∞ the Fourier sine integral converges to

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A: Here we have to use Riemann right end sum

Q: 1 and yn+l = V2 + Yn for n > 1. Show (ym) is monotone, and Let yn bounded, and compute its limit.

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A: We can solve this using Riemann sum

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Q: Evaluate the definite integral: (2 – a²)dx using limit of the Riemann sum.

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Q: (a) Find an approximation to the integral (x2 - 9x) dx using a Riemann sum with right endpoints and…

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Q: Determine if this improper integral will diverge or converge dx (x² – 1)4/3 1 Apply this in solving:…

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Q: 2. Determine if the integral converges or diverges. Part of your grade on this problem depends on…

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A: According to Riemann midpoint rule:

Q: 14. Let f(x) = 4.x3 + 6x2 + 3. (a) Use a right-hand Riemann sum to approximate the definite integral…

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Q: Show that the midpoint Riemann sum for f(x) =x° from 0 to 4 with n equal 4 subintervals is n6 {(4i –…

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Q: 1. Let p be constant, and consider the improper integral 1 d.x x (In(x))" /2 For what values of p…

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Q: 13. Write the definite integral for the Riemann sum: lim 5+ + .2 +. А. (5 + t)*dt В. t dt С. + 5)*dt…

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