Use the Midpoint Rule with n = 5 to estimate the volume V obtained by rotating about the y-axis the region under the curve y = √(3 + 5x^3), 0 ≤ x ≤ 1. (Round your answer to two decimal places.)
Added by Craig M.
Step 1
First, we need to find the function of the volume of the solid generated by rotating the curve about the y-axis. We can use the formula for the volume of a cylinder: V = πr^2h. In this case, the radius r is x, and the height h is the width of each subinterval, Show more…
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