Use a finite sum to estimate the area under the curve using the midpoint rule f(x)=x^3 on the interval [0,2] using two rectangles and four rectangles show all work
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Use a finite sum to estimate the area under the curve using the midpoint rule
f(x)=x^3 on the interval [0,2]
using two rectangles and four rectangles
show all work
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- Estimate the area under the graph of f(x)=16-x^2 over the interval [-3,2] using four approximating rectangle and right endpoint. Repeat the approximation using left enpointsUsing midpoint and trapezoidal rule estimate the integral using 4 sub intervalsDetermine which value best approximates the area of the region bounded by the graph of f (x) = 4 - x2 and the x-axis over the interval [0, 2]. Make your selection on the basis of a sketch of the region, not by performing calculations. Explain why the Midpoint Rule almost always results in a better area approximation in comparison to the endpoint method?
- Approximate the area under the graph of F(x)=0.6x^(3)+6x^(2)-0.6x-6 over the interval [-6,-1] using 5 subintervals. Use the left endpoints to find the heights of the rectangles. please provide type solution and detailed stepsFind the area of the region under the graph of the function f on the interval [5, 11], using the Fundamental Theorem of Calculus. Then verify your result using geometry. f(x) = 9 How many square units?Determine which value best approximates the area of the region bounded by the graph of f (x) = 4 - x2 (u) and the x-axis over the interval [0, 2]. Make your selection on the basis of a sketch of the region, not by performing calculations. Explain why the Midpoint Rule almost always results in a better area approximation in comparison to the endpoint method?
- Sketch the region bounded by the line y -axis. = 2 and the graph of y = sec2 x for −π2 < x < π2 and find its area.Find the area of the region bounded by the graphs of the equations y = 6x2 / (x3 − 2) , x = 3, x = 5, y = 0. Use a graphing utility to verify your result.Estimate the area under the graph f(x) = x2 between x = 0 and x = 4 using right sum with two rectangles of equal width.
- Estimate the area under the graph of �(�)=�+1 over the interval [-1,1] using eight approximating rectangles and midpoints.Evaluate the integral using u-substitution method. Show all the steps.Show the requirements for the Integral Test (by graphing). Use the Integral Test to categorize as Divergent or Convergent.please show all work and use proper notation thank you