1. ## Midpoint Rule

Use the Midpoint Rule with N = 5 to approximate the integral 6siny^(1/2) dy from 0 to 10.

I keep getting answers off from what I know has to be it. I thought I understood the process but I must be missing a step.

2. N= 5 divides the interval from 0 to 10 into 5 sub-intervals each of length 2: 0- 2, 2- 4, 4- 6, 6- 8, 8- 10. The midpoints of those intervals are 1, 3, 5, 7, and 9. The integral should be just $12(sin(1^{1/2})+ sin(3^{1/2})+ sin(5^{1/2})+ sin(7^{1/2})+ sin(9^{1/2}))$.

Is that what you did? In any case, show how you did that and what you got.

3. Agh! I see what happened now. I didn't factor out the 6 and multiply it by 2.