Question

Darboux sum $\int_{2}^{5}1-x+3x^2dx$

score 75 · Answer 1 · 2022-09-05 08:07:39

75

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Darboux sum $\int_{2}^{5}1-x+3x^2dx$

Published on 05 Sep 2022 - 8:07

score 88 · Answer 2 · 2022-09-07 14:25:48

88

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Compute $\lim_{n \rightarrow \infty} (\frac{2^{1/n}}{n+1} + \frac{2^{2/n}}{n+1/2} +…+ \frac{2^{n/n}}{n+1/n})$

Published on 07 Sep 2022 - 14:25

score 52 · Answer 3 · 2022-09-07 17:35:24

52

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Definite Integrals Calculus 2 Finding functions in Riemann sum

Published on 07 Sep 2022 - 17:35

score 93 · Answer 4 · 2022-09-15 09:12:04

93

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How to derive a definition of definite integral from another definition

Published on 15 Sep 2022 - 9:12

score 59 · Answer 5 · 2022-09-23 22:04:39

59

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How do I prove that this finite sum evaluate to $1+\sqrt{2}$ for all values of n?

Published on 23 Sep 2022 - 22:04

score 156 · Answer 6 · 2022-09-26 05:59:06

156

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If $x=\frac{1}{2^2}+\frac{1}{3^2}+\cdots+\frac{1}{2015^2}$, show that $\frac{201}{403}<x<\frac{2014}{2015}$

Published on 26 Sep 2022 - 5:59

score 50 · Answer 7 · 2026-02-23 13:45:54

50

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Defining the length of an interval in the Riemann sums

Published on 23 Feb 2026 - 13:45

score 65 · Answer 8 · 2022-10-10 22:04:01

65

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How can you take the summation of log(2^x-1)

Published on 10 Oct 2022 - 22:04

score 79 · Answer 9 · 2022-10-14 01:38:47

79

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How do we find $\lim_{n \to \infty} \sqrt{n}(1 - \sum_{k=1}^n 1/(n + \sqrt{k}))$?

Published on 14 Oct 2022 - 1:38

score 65 · Answer 10 · 2022-10-14 16:12:44

65

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Inequality $|f(x)| \leq \frac{1}{2}\left(|f(a)+f(b)|+\int_a^b|f'(x)|dx\right)$

Published on 14 Oct 2022 - 16:12

score 51 · Answer 11 · 2022-10-20 16:21:45

51

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Relation between infinitesimals in Riemann sums

Published on 20 Oct 2022 - 16:21

score 105 · Answer 12 · 2026-02-24 07:45:21

105

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Evaluate the limit of a sequence by Riemann sums and mean value theorem

Published on 24 Feb 2026 - 7:45

score 68 · Answer 13 · 2026-03-30 04:21:11

68

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Why isn't Riemann sum infinitesimal in nonstandard analysis?

Published on 30 Mar 2026 - 4:21

score 94 · Answer 14 · 2026-03-07 18:26:26

94

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Why's $\sum _{n=1}^{\infty } (-1)^n (n^{1/n}-1)$ accelerated by $\sum _{n=1}^{\infty } \frac{1}{2} (-1)^n \left(n^{1/n}-(n+1)^{\frac{1}{n+1}}\right)?$

Published on 07 Mar 2026 - 18:26

score 60 · Answer 15 · 2022-11-05 08:11:54

60

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How to solve $\lim\limits_{n\to∞}\frac1{n^{3/2}}(\sqrt{2n+1}+\sqrt{2n+2}+\cdots+\sqrt{2n+n})$

Published on 05 Nov 2022 - 8:11

List Question

Darboux sum $\int_{2}^{5}1-x+3x^2dx$

Compute $\lim_{n \rightarrow \infty} (\frac{2^{1/n}}{n+1} + \frac{2^{2/n}}{n+1/2} +…+ \frac{2^{n/n}}{n+1/n})$

Definite Integrals Calculus 2 Finding functions in Riemann sum

How to derive a definition of definite integral from another definition

How do I prove that this finite sum evaluate to $1+\sqrt{2}$ for all values of n?

If $x=\frac{1}{2^2}+\frac{1}{3^2}+\cdots+\frac{1}{2015^2}$, show that $\frac{201}{403}<x<\frac{2014}{2015}$

Defining the length of an interval in the Riemann sums

How can you take the summation of log(2^x-1)

How do we find $\lim_{n \to \infty} \sqrt{n}(1 - \sum_{k=1}^n 1/(n + \sqrt{k}))$?

Inequality $|f(x)| \leq \frac{1}{2}\left(|f(a)+f(b)|+\int_a^b|f'(x)|dx\right)$

Relation between infinitesimals in Riemann sums

Evaluate the limit of a sequence by Riemann sums and mean value theorem

Why isn't Riemann sum infinitesimal in nonstandard analysis?

Why's $\sum _{n=1}^{\infty } (-1)^n (n^{1/n}-1)$ accelerated by $\sum _{n=1}^{\infty } \frac{1}{2} (-1)^n \left(n^{1/n}-(n+1)^{\frac{1}{n+1}}\right)?$

How to solve $\lim\limits_{n\to∞}\frac1{n^{3/2}}(\sqrt{2n+1}+\sqrt{2n+2}+\cdots+\sqrt{2n+n})$

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