# RAM (Rectangle Approximation Method/Riemann Sum) - Page 3

Questions

- Use Riemann sums to evaluate? : #int_0^3 \ x^2-3x+2 \ dx #
- What is midpoint Riemann sum?
- How do you find an approximation to the integral #int(x^2-x)dx# from 0 to 2 using a Riemann sum with 4 subintervals, using right endpoints as sample points?
- Determine a region whose area is equal to the given limit?
- How do you use n = 5 equally divided subdivisions to estimate the integral from 1 to 3 of #(1/x^2)dx# with the right-hand Riemann sum?
- How do you approximate the area under #y=10−x^2# on the interval [1, 3] using 4 subintervals and midpoints?
- How do I find the riemann sum of #y = x^2 + 1# for [0,1] at infinitely small intervals?
- How would I write the Riemann sum needed to find the area under the curve given by the function #f(x)=5x^2+3x+2# over the interval [2,6]?
- How do you use the midpoint rule to approximate the integral #-3x-8x^2dx# from the interval [-1,4] with #n=3#?
- Consider the function f(x)=((x^2/2)−3). In this problem you will calculate [0,4]=[a,b] ((x2/2)−3)dx by using the definition. Calculate Rn for f(x)=((x2/2)−3) on the interval [0,4] and write your answer as a function of n without any summation signs ?
- How do you estimate the area under the graph of #f(x) = 10sqrt(x)# from #x = 0# to #x = 4# using four approximating rectangles and right endpoints?
- How do you estimate the area under the graph of #f(x)=3cos(x)# from the interval where x is between [0,2] using four rectangles and the right end points?
- How do you use Riemann sums to evaluate the area under the curve of #y = x^2 + 1# on the closed interval [0,1], with n=4 rectangles using midpoint?
- How do you use Riemann sums to evaluate the area under the curve of #f(x)= x^2# on the closed interval [1,3], with n=4 rectangles using midpoints?
- Suppose #f(x)= 2x^(2)-1#, how do you compute the Riemann sum for f(x) on the interval [-1,5] with partition {-1,2,4,5} using the left-hand endpoints as sample points?
- How do you evaluate the Riemann sum for 0 ≤ x ≤ 2, with n = 4?
- How do you use Riemann sums to evaluate the area under the curve of #f(x) = (e^x) − 5# on the closed interval [0,2], with n=4 rectangles using midpoints?
- How do you find the left Riemann sum for #f(x) = e^x# on [0,In 2] with n = 40?
- How do you find the Riemann sum for #f(x) = x - 2 sin 2x# on the interval [0,3] with a partitioning of n = 6 taking sample points to be the left endpoints and then the midpoints?
- Let #f(x) = x^2# and how do you compute the Riemann sum of f over the interval [6,8], using the following number of subintervals (n=5) and using the right endpoints?