Question

$\lim_{n \to \infty} \int_a^b g(x) \sin^n(x)dx$

score 65 · Answer 1 · 2018-08-21 10:24:19

65

Views

$\lim_{n \to \infty} \int_a^b g(x) \sin^n(x)dx$

Published on 21 Aug 2018 - 10:24

score 178 · Answer 2 · 2018-08-21 12:30:16

178

Views

Show that a function is not Riemann Integrable with Darboux's Criterion

Published on 21 Aug 2018 - 12:30

score 702 · Answer 3 · 2026-03-25 12:54:45

702

Views

Convergence of Riemann-Stieltjes sums

Published on 25 Mar 2026 - 12:54

score 316 · Answer 4 · 2018-08-26 09:53:41

316

Views

Intuition about definition of Riemann integral

Published on 26 Aug 2018 - 9:53

score 78 · Answer 5 · 2018-08-27 12:14:42

78

Views

Mean value theorem on a non-compact interval as a limit of compact intervals

Published on 27 Aug 2018 - 12:14

score 1.3k · Answer 6 · 2018-08-29 01:33:46

1.3k

Views

Show that $f$ is Riemann integrable on $[a,b]$ and that $\int_{a}^b f=t-s$.

Published on 29 Aug 2018 - 1:33

score 1.1k · Answer 7 · 2018-09-02 01:24:54

1.1k

Views

Prove that the function $f(x)=\sin\frac{1}{x} \ (x\ne 0); f(0)=0$ is integrable on $[0,1]$.

Published on 02 Sep 2018 - 1:24

score 125 · Answer 8 · 2018-09-03 14:31:40

125

Views

How does the next step conclude from the previous one?

Published on 03 Sep 2018 - 14:31

score 582 · Answer 9 · 2026-03-25 16:03:06

582

Views

How Darboux Sums are used to compute definite integral of x?

Published on 25 Mar 2026 - 16:03

score 73 · Answer 10 · 2018-09-04 21:29:20

73

Views

Let $f:[0,\infty)\to(0,\infty)$ be continuous and non-increasing...

Published on 04 Sep 2018 - 21:29

score 63 · Answer 11 · 2018-09-07 10:19:45

63

Views

Let $f:[0,1]\to [-1,1]$ be arbitrary and define $g(x)=\sup\limits_{a\leq t\leq x}|f(t)|.$ Must $g$ be Riemann integrable?

Published on 07 Sep 2018 - 10:19

score 101 · Answer 12 · 2018-09-08 01:53:09

101

Views

Riemann Steiltjes Integral

Published on 08 Sep 2018 - 1:53

score 221 · Answer 13 · 2026-03-25 17:40:16

221

Views

Proving that definite integral gives the area under the curve using the following definition.

Published on 25 Mar 2026 - 17:40

score 92 · Answer 14 · 2018-09-09 05:12:33

92

Views

Why is $\varphi$ is a step function and $\varphi\in\mathcal{R}[a,b]$?

Published on 09 Sep 2018 - 5:12

score 181 · Answer 15 · 2018-09-11 01:45:35

181

Views

if $f(x)=\int_0^x \lfloor{t}\rfloor \,dt$ for $x≥0$, draw the graph of $f$ over the interval [0,4]

Published on 11 Sep 2018 - 1:45

List Question

$\lim_{n \to \infty} \int_a^b g(x) \sin^n(x)dx$

Show that a function is not Riemann Integrable with Darboux's Criterion

Convergence of Riemann-Stieltjes sums

Intuition about definition of Riemann integral

Mean value theorem on a non-compact interval as a limit of compact intervals

Show that $f$ is Riemann integrable on $[a,b]$ and that $\int_{a}^b f=t-s$.

Prove that the function $f(x)=\sin\frac{1}{x} \ (x\ne 0); f(0)=0$ is integrable on $[0,1]$.

How does the next step conclude from the previous one?

How Darboux Sums are used to compute definite integral of x?

Let $f:[0,\infty)\to(0,\infty)$ be continuous and non-increasing...

Let $f:[0,1]\to [-1,1]$ be arbitrary and define $g(x)=\sup\limits_{a\leq t\leq x}|f(t)|.$ Must $g$ be Riemann integrable?

Riemann Steiltjes Integral

Proving that definite integral gives the area under the curve using the following definition.

Why is $\varphi$ is a step function and $\varphi\in\mathcal{R}[a,b]$?

if $f(x)=\int_0^x \lfloor{t}\rfloor \,dt$ for $x≥0$, draw the graph of $f$ over the interval [0,4]

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