List questions from lebesgue-integral

Published on 12 Apr 2026 - 16:00

80

Views

Prove by test integrabilty that: $\displaystyle\int_0^{+\infty} \left|\frac{\ln x}{x^2-1}\right|\, dx < +\infty$

Published on 15 Apr 2026 - 18:54

62

Views

Find the limit $\lim_{k\rightarrow\infty}k\int_{[1-\frac{1}{k}, 1]}f(x) \text{d}x$ when $\text{spt}(f)\subset [0, 2]$

Published on 16 Apr 2026 - 16:26

619

Views

Proving that : $ \left|\int_a^b\frac{\widehat{f}(\xi)}{\xi}d\xi\right|\le 4 \|f\|_1$ for all $a,b$ and all $f$

Published on 16 Apr 2026 - 7:47

203

Views

Riemann integrable function from $\mathbb{R}^n$ is continuous a.e.?

Published on 12 Apr 2026 - 9:13

42

Views

Limit of surface integrals

Published on 13 Apr 2026 - 5:29

122

Views

show that $\int_{(0,1)} f dx = \infty$

Published on 14 Apr 2026 - 18:44

933

Views

Lebesgue integration of step function

Published on 25 Mar 2026 - 11:09

134

Views

Integral Inequality using Tonelli’s Theorem

Published on 09 Apr 2026 - 15:55

74

Views

Find the limit of the integral

Published on 13 Apr 2026 - 13:25

584

Views

Absolute continuity of $f:[a,b] \rightarrow \mathbb{R}$ implies differentiability a.e.

Published on 15 Apr 2026 - 18:48

225

Views

Calculate $\lim_{n\to\infty}\int_0^1\frac{nx}{1+n^2 x^3}\,dx$.

Published on 16 Apr 2026 - 7:37

30

Views

$\int^1_0 g(x) ^p-f(x)^p \,d\mu \ge 0 \Rightarrow g(x) >f(x)$?

Published on 17 Apr 2026 - 15:40

73

Views

Limit with Lebesgue Integral

Published on 10 Apr 2026 - 18:30

66

Views

Some proof about Lebesgue integral of relaxing the restriction

Published on 15 Apr 2026 - 4:31

List Question

every measurable function is essentially bounded some where?

Prove by test integrabilty that: $\displaystyle\int_0^{+\infty} \left|\frac{\ln x}{x^2-1}\right|\, dx < +\infty$

Find the limit $\lim_{k\rightarrow\infty}k\int_{[1-\frac{1}{k}, 1]}f(x) \text{d}x$ when $\text{spt}(f)\subset [0, 2]$

Proving that : $ \left|\int_a^b\frac{\widehat{f}(\xi)}{\xi}d\xi\right|\le 4 \|f\|_1$ for all $a,b$ and all $f$

Riemann integrable function from $\mathbb{R}^n$ is continuous a.e.?

Limit of surface integrals

show that $\int_{(0,1)} f dx = \infty$

Lebesgue integration of step function

Integral Inequality using Tonelli’s Theorem

Find the limit of the integral

Absolute continuity of $f:[a,b] \rightarrow \mathbb{R}$ implies differentiability a.e.

Calculate $\lim_{n\to\infty}\int_0^1\frac{nx}{1+n^2 x^3}\,dx$.

$\int^1_0 g(x) ^p-f(x)^p \,d\mu \ge 0 \Rightarrow g(x) >f(x)$?

Limit with Lebesgue Integral

Some proof about Lebesgue integral of relaxing the restriction

Trending Questions

Popular # Hahtags

Popular Questions