asteward6533 asteward6533
  • 24-11-2021
  • Mathematics
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does the right riemann sum underestimate or overestimate

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LammettHash
LammettHash LammettHash
  • 24-11-2021

That depends on the function in question.

If f(x) is integrable and non-decreasing, then the right Riemann sum overestimates the integral of f.

If f is non-increasing, the right Riemann sum underestimates the integral.

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