Question

Prove this function is integrable over an interval

score 338 · Answer 1 · 2020-11-28 19:10:41

338

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Prove this function is integrable over an interval

Published on 28 Nov 2020 - 19:10

score 1k · Answer 2 · 2020-11-30 09:32:10

1k

Views

Composition of Riemann integrable function and C1 function is Riemann integrable

Published on 30 Nov 2020 - 9:32

score 614 · Answer 3 · 2020-11-30 16:39:39

614

Views

Show that if the integral of a function from 0 to x is equal to the integral from x to 1, then f(x)=0

Published on 30 Nov 2020 - 16:39

score 201 · Answer 4 · 2020-12-01 09:34:46

201

Views

Integration by parts on manifolds with Hessian

Published on 01 Dec 2020 - 9:34

score 91 · Answer 5 · 2020-12-02 13:39:43

91

Views

Is this function Riemann integrable??

Published on 02 Dec 2020 - 13:39

score 31 · Answer 6 · 2020-12-03 03:07:38

Show that $G:[c,d]\to \mathbb R$ defined by $G(x)=\int_0^{f(x)}F(t)dt, x\in [c,d] $ is differentiable and $G'(x)=F\circ f(x) \cdot f'(x).$

score 47 · Answer 7 · 2020-12-04 00:32:08

47

Views

As an addition to an aswered question.(Riemann integration)

Published on 04 Dec 2020 - 0:32

score 87 · Answer 8 · 2020-12-04 21:31:21

87

Views

Lebesgue Integration, Uniform Convergence

Published on 04 Dec 2020 - 21:31

score 55 · Answer 9 · 2020-12-04 23:28:58

55

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If $f$ is continous on $J_1\times J_2$ and $g$ is Riemann integrable on $J_1$, then $F(t)=\int_a^bf(x,t)g(x)dx$ is continous

Published on 04 Dec 2020 - 23:28

score 87 · Answer 10 · 2020-12-05 01:59:13

87

Views

Prove that the function is Riemann-Integrable.

Published on 05 Dec 2020 - 1:59

score 336 · Answer 11 · 2020-12-05 06:48:09

336

Views

Proving a function bounded between integrable functions is integrable?

Published on 05 Dec 2020 - 6:48

score 466 · Answer 12 · 2020-12-05 06:54:04

466

Views

Prove that the function is Riemann Integrable

Published on 05 Dec 2020 - 6:54

score 96 · Answer 13 · 2020-12-05 21:21:08

96

Views

Evalute the Riemann-Stieltjes integral $\int_0^4x^2d([x^2])$

Published on 05 Dec 2020 - 21:21

score 770 · Answer 14 · 2020-12-05 22:16:04

770

Views

Given that $g$ is only continuous at $0$, not on $[0,1]$, show $\lim_{n \to \infty} \int_0^1 g(x^n) dx = g(0)$.

Published on 05 Dec 2020 - 22:16

score 239 · Answer 15 · 2020-12-06 17:08:42

239

Views

Prove that $\lim_{n \to \infty} \int_a^b f(x) \sin^n (x) dx = 0$.

Published on 06 Dec 2020 - 17:08

List Question

Prove this function is integrable over an interval

Composition of Riemann integrable function and C1 function is Riemann integrable

Show that if the integral of a function from 0 to x is equal to the integral from x to 1, then f(x)=0

Integration by parts on manifolds with Hessian

Is this function Riemann integrable??

Show that $G:[c,d]\to \mathbb R$ defined by $G(x)=\int_0^{f(x)}F(t)dt, x\in [c,d] $ is differentiable and $G'(x)=F\circ f(x) \cdot f'(x).$

As an addition to an aswered question.(Riemann integration)

Lebesgue Integration, Uniform Convergence

If $f$ is continous on $J_1\times J_2$ and $g$ is Riemann integrable on $J_1$, then $F(t)=\int_a^bf(x,t)g(x)dx$ is continous

Prove that the function is Riemann-Integrable.

Proving a function bounded between integrable functions is integrable?

Prove that the function is Riemann Integrable

Evalute the Riemann-Stieltjes integral $\int_0^4x^2d([x^2])$

Given that $g$ is only continuous at $0$, not on $[0,1]$, show $\lim_{n \to \infty} \int_0^1 g(x^n) dx = g(0)$.

Prove that $\lim_{n \to \infty} \int_a^b f(x) \sin^n (x) dx = 0$.

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