Question

Find a monotonously increasing function in the interval $[0,1]$ that is discontinuous at every point$ (x=1/n), n=[2,3...\infty]$

score 160 · Answer 1 · 2026-04-16 05:26:55

160

Views

Find a monotonously increasing function in the interval $[0,1]$ that is discontinuous at every point$ (x=1/n), n=[2,3...\infty]$

Published on 16 Apr 2026 - 5:26

score 254 · Answer 2 · 2026-04-15 04:40:17

254

Views

Prove that $\frac{\sin(x)}{1+|x|}$ is not Lebesgue integrable

Published on 15 Apr 2026 - 4:40

score 139 · Answer 3 · 2026-04-10 16:20:04

139

Views

Explain why discontinuous function is Riemann-Integrable

Published on 10 Apr 2026 - 16:20

score 62 · Answer 4 · 2026-04-16 12:35:00

62

Views

limit as $\delta \rightarrow 0 \int_{a + \delta}^{b} f(x)dx = \int_{a}^{b}f(x)dx$?

Published on 16 Apr 2026 - 12:35

score 168 · Answer 5 · 2026-04-14 10:43:20

168

Views

Example of primitive function which isn't Riemann-integrable on a closed interval [0,1]

Published on 14 Apr 2026 - 10:43

score 1.3k · Answer 6 · 2026-04-15 00:22:25

1.3k

Views

Example of bounded f:[0,1]->R which has primitive but not Riemann-integrability in closed interval?

Published on 15 Apr 2026 - 0:22

score 94 · Answer 7 · 2026-04-16 15:06:46

94

Views

Prove that $\int_{- \infty}^{\infty} f(x) dx = \int_{- \infty}^{\infty} f(-x) dx.$ (Analysis)

Published on 16 Apr 2026 - 15:06

score 64 · Answer 8 · 2026-04-09 15:22:33

64

Views

Real Analysis. Integration. Confused

Published on 09 Apr 2026 - 15:22

score 226 · Answer 9 · 2026-04-15 07:14:53

226

Views

Riemann-Lebesgue lemma applied

Published on 15 Apr 2026 - 7:14

score 214 · Answer 10 · 2026-04-15 23:46:30

214

Views

Give an example of a function having infinite number of point of discontinuities but integrable. Justify.

Published on 15 Apr 2026 - 23:46

score 2.9k · Answer 11 · 2026-04-15 08:14:25

2.9k

Views

If $f:[a,b]\to R$ is bounded with points of discontinuities enclosed by finite number of sub-intervals then $f$ is Riemann integrable on $[a,b]$.

Published on 15 Apr 2026 - 8:14

score 475 · Answer 12 · 2026-04-15 20:39:14

475

Views

Let $f : Q\to \mathbb{R}$ be bounded. Then the statement that $f$ is integrable over $Q$, with $\int_{Q}f = A$, is equivalent to the statement

Published on 15 Apr 2026 - 20:39

score 650 · Answer 13 · 2026-04-14 01:42:52

650

Views

Give an example of Riemann Integrable function which has a primitive. Justify

Published on 14 Apr 2026 - 1:42

score 151 · Answer 14 · 2026-05-10 14:04:50

151

Views

Why Volterra's function's derivative is zero on Cantor Set?

Published on 10 May 2026 - 14:04

score 120 · Answer 15 · 2026-04-16 21:29:25

120

Views

When are you allowed to say $\int_\mathbb{R} \mathbb{1}_{(0,1)}(x)x^{\alpha p}d\lambda = \int_0^1x^{\alpha p}dx$?

Published on 16 Apr 2026 - 21:29

List Question

Find a monotonously increasing function in the interval $[0,1]$ that is discontinuous at every point$ (x=1/n), n=[2,3...\infty]$

Prove that $\frac{\sin(x)}{1+|x|}$ is not Lebesgue integrable

Explain why discontinuous function is Riemann-Integrable

limit as $\delta \rightarrow 0 \int_{a + \delta}^{b} f(x)dx = \int_{a}^{b}f(x)dx$?

Example of primitive function which isn't Riemann-integrable on a closed interval [0,1]

Example of bounded f:[0,1]->R which has primitive but not Riemann-integrability in closed interval?

Prove that $\int_{- \infty}^{\infty} f(x) dx = \int_{- \infty}^{\infty} f(-x) dx.$ (Analysis)

Real Analysis. Integration. Confused

Riemann-Lebesgue lemma applied

Give an example of a function having infinite number of point of discontinuities but integrable. Justify.

If $f:[a,b]\to R$ is bounded with points of discontinuities enclosed by finite number of sub-intervals then $f$ is Riemann integrable on $[a,b]$.

Let $f : Q\to \mathbb{R}$ be bounded. Then the statement that $f$ is integrable over $Q$, with $\int_{Q}f = A$, is equivalent to the statement

Give an example of Riemann Integrable function which has a primitive. Justify

Why Volterra's function's derivative is zero on Cantor Set?

When are you allowed to say $\int_\mathbb{R} \mathbb{1}_{(0,1)}(x)x^{\alpha p}d\lambda = \int_0^1x^{\alpha p}dx$?

Trending Questions

Popular # Hahtags

Popular Questions