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Estimation of a sum by an integral

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#definite-integrals #riemann-sum
143
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A quite Riemann sum with square root

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#limits #summation #riemann-sum
163
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Interpreting Riemann sums as integrals

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#integration #definite-integrals #summation #riemann-sum
134
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Almost first-order, almost-differential functional equations

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#real-analysis #functional-analysis #ordinary-differential-equations #riemann-sum
69
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Do lower Riemann sums form a connected set?

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#real-analysis #connectedness #riemann-sum
156
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Prove that $L(f,[a, b])=\lim _{n \rightarrow \infty} L\left(f, P_{n},[a, b]\right)$, where $f$ is a bounded function

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#riemann-integration #riemann-sum
151
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Help with $ \lim \frac{n\pi}{4} - \left( \frac{n^2}{n^2+1^2} +\frac{n^2}{n^2+2^2} + \cdots + \frac{n^2}{n^2+n^2} \right) $

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#real-analysis #limits #riemann-sum
45
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Can the union of lines be an area?

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#geometry #definite-integrals #riemann-sum
41
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Calculate the sequence limit or prove that the limit does not exists

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#calculus #integration #sequences-and-series #riemann-sum
94
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find the limit of the sum $\sum_{k=n}^{2n-1}\frac{1}{2k+1}$

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#riemann-integration #riemann-sum
118
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Integral expansion of Riemann sum

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#integration #riemann-sum
170
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$\int f^{-1}$ when $f$ contains jump discontinuities

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#calculus #integration #supremum-and-infimum #inverse-function #riemann-sum
78
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How do I calculate the value of an infinite series of integrals?

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#derivatives #definite-integrals #physics #riemann-sum #simulation
97
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For approximation f within $0.0001$ of $\int_{1}^{2} \frac{1}{x} dx$ using Riemann sum

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#calculus #numerical-methods #riemann-sum
79
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Help Needed with Finding Series Expansion of Square Root Term of the Integrand of an Arc Length Integral. This Facilitates Integration.

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#taylor-expansion #radicals #riemann-integration #riemann-sum #arc-length

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