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- Estimate the area of the region bound by the graph of f(x) = x^2 + 3x and the x-axis on [2,5] using a right-endpoint Riemann sum with n = 50 rectangles.Find the area of the region lying to the right of x = y2 - 5 and to theleft of x = 3 - y2.Approximate the area of the region between the graph of the function g(x)=36x−x3g(x)=36x−x3 and the xx-axis on the interval [0,6][0,6]. Use n=4n=4 subintervals, and use the right endpoint of each subinterval when approximating the area for each subinterval. If necessary, round any intermediate calculations to no less than six decimal places and round your final answer to four decimal places.
- For the region under f(x) = 4x2 on [0, 4], show that the sum of the areas of the upper approximating rectangle approaches 256 3 , that isFind the area of the region between the graphs of y=17-x2 and y=-6x+10 over the interval -3 < x < 6. (The interval results in a compound region)Approximate the area of the region bounded by the graph of ƒ(x) = 100 - x2 and the x-axis on [0, 10] with n = 5 subintervals. Use the midpoint of each subinterval to determine the height of each rectangle.