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Math Help - Riemann Sum

  1. #1
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    Riemann Sum

    Find L4 for f(x)=49cos(pi/2) from [2pi/4,2pi/2]

    I thought it would just be zero since there aren't any x's in f(x)? Apparently that's incorrect though. Any help would be wonderful!
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  2. #2
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    Quote Originally Posted by A5HLEY View Post
    Find L4 for f(x)=49cos(pi/2) from [2pi/4,2pi/2]

    I thought it would just be zero since there aren't any x's in f(x)? Apparently that's incorrect though. Any help would be wonderful!

    Either you have a typo or you book has one becuase

    f(x)=49\cos(\pi/2)=0 for all values of x.


    so the left endpoint sum would be

    L_4=\sum_{i=0}^{3}f(\frac{\pi}{2}+i\frac{\pi}{8})\  frac{\pi}{8}=0

    since f(x)=0 for all values of x.
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