# Riemann sums

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• February 8th 2010, 09:32 PM
vuze88
Riemann sums
Consider teh partition $P_n$ of $[1,2]$, given by $P_n=\left \{ q_0,q_1,q_2,...,q_n \right \}$ where $q_n=2$. If $f(x)=x^j$ for some positive integer $j$, then evaluate the integral $\int_{1}^{2}f(x)dx$ by calculating the limit of the corresponding lower Riemann sums.

Can someone give me clues with this one.
• February 10th 2010, 01:04 AM
vuze88
sorry, there was a typo in the question when i typed it. Its now been fixed.