Question

How to show that the upper sum of $x^2$ over [0,1] is always $\geq 1/3$ from first principles

score 60 · Answer 1 · 2020-03-07 19:28:37

60

Views

How to show that the upper sum of $x^2$ over [0,1] is always $\geq 1/3$ from first principles

Published on 07 Mar 2020 - 19:28

score 97 · Answer 2 · 2020-03-10 01:31:05

97

Views

Prove that the upper integral $\int_{-1}^1f(x)dx$ is equal to $0$.

Published on 10 Mar 2020 - 1:31

score 233 · Answer 3 · 2020-03-11 14:45:39

233

Views

$\lim_{n \to \infty} \frac{1}{n} \sum_{r=1}^{\infty} e^{-\frac{r^2}{2n^2}}$

Published on 11 Mar 2020 - 14:45

score 383 · Answer 4 · 2020-03-18 20:59:24

383

Views

How to split pyramid volume into slices for Riemann sum.

Published on 18 Mar 2020 - 20:59

score 1.4k · Answer 5 · 2020-03-22 14:53:37

1.4k

Views

Calculate Upper Riemann Sum for $f(x)=x^{2}$ for $x \in [0,1]$

Published on 22 Mar 2020 - 14:53

score 93 · Answer 6 · 2020-03-23 14:00:44

93

Views

Given a continuous function $f$ prove $\lim\limits \frac 1n \sum_{k=0}^{n-1} k \int_{\tfrac kn}^{\tfrac{k+1}{n}} f(t)dt = \int_0^1 xf(x)dx$

Published on 23 Mar 2020 - 14:00

score 273 · Answer 7 · 2020-03-25 18:37:33

273

Views

Computing the Darboux integral of $x$ on $[0,1]$ by definition.

Published on 25 Mar 2020 - 18:37

score 39 · Answer 8 · 2020-03-29 22:04:00

39

Views

Proof question about the definition of the integral via Darboux sums

Published on 29 Mar 2020 - 22:04

score 92 · Answer 9 · 2020-04-01 21:43:41

92

Views

Limit of a sum of squared sines

Published on 01 Apr 2020 - 21:43

score 156 · Answer 10 · 2020-04-04 19:25:46

156

Views

Integral Test: Anticipating That Integral is Lesser Than Riemann Sum

Published on 04 Apr 2020 - 19:25

score 878 · Answer 11 · 2020-04-06 14:24:04

878

Views

How to prove that function $f$ is Riemann integrable

Published on 06 Apr 2020 - 14:24

score 75 · Answer 12 · 2020-04-08 15:21:26

75

Views

Estimating integrals using Riemann sums

Published on 08 Apr 2020 - 15:21

score 46 · Answer 13 · 2020-04-12 14:26:24

46

Views

$\lim_{n\to\infty} ((1+1/n)(1+2/n)...(1+n/n))^{1/n}$

Published on 12 Apr 2020 - 14:26

score 87 · Answer 14 · 2020-04-14 19:55:06

87

Views

Riemann Sum to integral form

Published on 14 Apr 2020 - 19:55

score 78 · Answer 15 · 2020-04-18 18:35:27

78

Views

How do I evaluate this finite sum using simple techniques?

Published on 18 Apr 2020 - 18:35

List Question

How to show that the upper sum of $x^2$ over [0,1] is always $\geq 1/3$ from first principles

Prove that the upper integral $\int_{-1}^1f(x)dx$ is equal to $0$.

$\lim_{n \to \infty} \frac{1}{n} \sum_{r=1}^{\infty} e^{-\frac{r^2}{2n^2}}$

How to split pyramid volume into slices for Riemann sum.

Calculate Upper Riemann Sum for $f(x)=x^{2}$ for $x \in [0,1]$

Given a continuous function $f$ prove $\lim\limits \frac 1n \sum_{k=0}^{n-1} k \int_{\tfrac kn}^{\tfrac{k+1}{n}} f(t)dt = \int_0^1 xf(x)dx$

Computing the Darboux integral of $x$ on $[0,1]$ by definition.

Proof question about the definition of the integral via Darboux sums

Limit of a sum of squared sines

Integral Test: Anticipating That Integral is Lesser Than Riemann Sum

How to prove that function $f$ is Riemann integrable

Estimating integrals using Riemann sums

$\lim_{n\to\infty} ((1+1/n)(1+2/n)...(1+n/n))^{1/n}$

Riemann Sum to integral form

How do I evaluate this finite sum using simple techniques?

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