Which of the following values would be obtained using 5 midpoint rectangles of equal width to estimate the integral from 0 to 1 of x squared, dx?

Partition the interval [0,1] as



The midpoints of the intervals are, respectively - these are your sample points.

The integral is approximated by



where is the difference between the partition endpoints, i.e. , and is the midpoint of the th partition. You have



For comparison, the actual value of the integral is , so the approximation is valid to two decimal places.

None liner bro because

She should use 12/3 to measure