Use the limit process to find the area of the region between the graph of the function and the x-axis over the indicated interval.

y = x^2 + 2 [0, 1]

Ans: 7/3

Can someone show me a step by step guide? Thanks!

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- Feb 5th 2009, 11:08 AMdillonmhudsonReimann Sum Help
Use the limit process to find the area of the region between the graph of the function and the x-axis over the indicated interval.

y = x^2 + 2 [0, 1]

Ans: 7/3

Can someone show me a step by step guide? Thanks! - Feb 5th 2009, 11:28 AMKrizalid
It's $\displaystyle \underset{n\to \infty }{\mathop{\lim }}\,\frac{1}{n}\sum\limits_{i=1}^{n}{\left\{ {{\left( \frac{i}{n} \right)}^{2}}+2 \right\}}$ for $\displaystyle \Delta x=\frac{1}{n}$ and $\displaystyle {{x}_{i}}=\frac{i}{n}.$

Can you do that? - Feb 5th 2009, 11:45 AMdillonmhudson
Yeah I got that.