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Thread: Riemann sums

  1. #1
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    Riemann sums

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

    Can someone give me clues with this one.
    Last edited by vuze88; Feb 10th 2010 at 12:03 AM.
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  2. #2
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    sorry, there was a typo in the question when i typed it. Its now been fixed.
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