Question

Evaluate $\int_0^3 x{\sqrt {3-x}}\;dx $ using Riemann sums

score 126 · Answer 1 · 2024-03-07 14:02:24

126

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Evaluate $\int_0^3 x{\sqrt {3-x}}\;dx $ using Riemann sums

Published on 07 Mar 2024 - 14:02

score 63 · Answer 2 · 2026-03-26 12:53:35

63

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How to prove every shell is non-overlapping in volume of revolution by "shells"? Does the Riemann sum imply the volume is over-counted?

Published on 26 Mar 2026 - 12:53

score 36 · Answer 3 · 2024-03-16 13:10:44

36

Views

Evaluate $\lim_{n\rightarrow\infty} \sum_{k=1}^n \frac{1}{k}\tan(\frac{k\pi}{4n + 4})$

Published on 16 Mar 2024 - 13:10

score 43 · Answer 4 · 2024-03-20 22:57:08

Is there a nice closed form of the following function: $f(k) = \lim_{n \rightarrow \infty}\prod^{kn}_{i = 0}\frac{n-2i+1}{n-2i}$

score 46 · Answer 5 · 2024-03-22 16:03:37

46

Views

Using the integral find, $\lim_{n\to\infty}[ \frac{n}{(n+1)^2} + ... + \frac{n}{(2n)^2}]$

Published on 22 Mar 2024 - 16:03

score 32 · Answer 6 · 2024-03-23 15:43:49

32

Views

A inequality of Darboux integral

Published on 23 Mar 2024 - 15:43

score 1k · Answer 7 · 2015-01-07 16:30:43

1k

Views

Turning an infinite summation into an integral

Published on 07 Jan 2015 - 16:30

score 166 · Answer 8 · 2015-01-09 13:10:16

166

Views

Infinite Riemann sum of $x^3$

Published on 09 Jan 2015 - 13:10

score 521 · Answer 9 · 2015-01-10 22:20:03

521

Views

Integral of a piecewise function with a finite number of jump discontinuities.

Published on 10 Jan 2015 - 22:20

score 223 · Answer 10 · 2015-01-14 07:49:41

223

Views

Help calculating a riemann sum

Published on 14 Jan 2015 - 7:49

score 308 · Answer 11 · 2015-01-15 04:35:46

308

Views

Calculating Area using Sigma Notation

Published on 15 Jan 2015 - 4:35

score 1.1k · Answer 12 · 2015-01-18 21:03:45

1.1k

Views

Difference between lower sums and lower integral

Published on 18 Jan 2015 - 21:03

score 957 · Answer 13 · 2015-01-25 08:44:12

957

Views

Riemann Integral Property for Continuous, Monotonic, Non-negative Function

Published on 25 Jan 2015 - 8:44

score 466 · Answer 14 · 2015-01-25 20:52:21

466

Views

Riemann sum $\int x^m dx$?

Published on 25 Jan 2015 - 20:52

score 144 · Answer 15 · 2015-01-26 08:42:10

144

Views

Convert to Riemann Sum $\lim_{N→∞}\sum^{N}_{n=-N}\left(\frac{1}{(N+in)}+\frac{1}{(N-in)}\right)$

Published on 26 Jan 2015 - 8:42

List Question

Evaluate $\int_0^3 x{\sqrt {3-x}}\;dx $ using Riemann sums

How to prove every shell is non-overlapping in volume of revolution by "shells"? Does the Riemann sum imply the volume is over-counted?

Evaluate $\lim_{n\rightarrow\infty} \sum_{k=1}^n \frac{1}{k}\tan(\frac{k\pi}{4n + 4})$

Is there a nice closed form of the following function: $f(k) = \lim_{n \rightarrow \infty}\prod^{kn}_{i = 0}\frac{n-2i+1}{n-2i}$

Using the integral find, $\lim_{n\to\infty}[ \frac{n}{(n+1)^2} + ... + \frac{n}{(2n)^2}]$

A inequality of Darboux integral

Turning an infinite summation into an integral

Infinite Riemann sum of $x^3$

Integral of a piecewise function with a finite number of jump discontinuities.

Help calculating a riemann sum

Calculating Area using Sigma Notation

Difference between lower sums and lower integral

Riemann Integral Property for Continuous, Monotonic, Non-negative Function

Riemann sum $\int x^m dx$?

Convert to Riemann Sum $\lim_{N→∞}\sum^{N}_{n=-N}\left(\frac{1}{(N+in)}+\frac{1}{(N-in)}\right)$

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