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Simply that, derive the formula for the left rectangle sum $f(x)=x^2+1$ from $0$ to $3$

This is when you use like rectangles and Riemann sums to approximate an integral. Not really sure what this means to derive the formula ?

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    Yea I can work these problems out, it's pretty straightforward compared to the rest of calculus . But I'm not good at proofs though like don't even understand what its asking me to put down at all.2012-09-05

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Can you follow the very similar example on this web site?

http://www2.seminolestate.edu/lvosbury/CalculusI_Folder/RiemannSumDemo.htm

It is important for you to learn what is going on here.

I would strongly recommend you use all three (left, right and midpoint) to find the integral.

Of course, you know what the answer should be by doing the integral.

Hint 1: Area = 12

Hint 2: See the left sum here: http://www.wolframalpha.com/input/?i=INTEGRATE%5Bx%5E2%2B1%2C%7Bx%2C0%2C3%7D%5D&t=crmtb01

Please show your work if this is confusing.

HTH ~A