I have just been doing some Riemann Sums, but i must find the midpoint. Now i am doing some research on how to do it but i dont get the formula.(adsbygoogle = window.adsbygoogle || []).push({});

Function i am using is y=x^2, over x=2 and x=12, with n=20 subintervals.

For the left sum i used something like this

1/2 * (2^2 + 2.5^2 + 3^2 + 3.5^2 + ........ + 11.5^2)

now for the right i used somethign like this

1/2 * (2.5^2 + 3^2 + 3.5^2 + ......... + 12^2)

From my basic understanding, i am a highschool student, all i do is this

LEFT (a-b / n) multiplied by (a^2 + ..... (every 0.5^2 interval until

11.5^2) (miss out 12 ^2) ).

RIGHT i did the same for right, with the exception of leaving out a^2, and put in b^2 instead.

if someone could help me a bit on the MIDPOINT one would be great, i know the sum, just want to know how to do it.

P.S. Ive seen upper and lower, is this the same as right and left. Thanks for any help

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# Riemann Sums

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