List questions from lebesgue-integral

Published on 09 Apr 2026 - 5:13

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Asymptotics of a function

Published on 10 Apr 2026 - 17:59

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Lebesgue Integral of a piecewise defined function defined on irrationals and rationals(GATE-2017)

Published on 29 Mar 2017 - 10:45

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Let $A\subset [-\pi, \pi]$ be a measurable set. Show that $\lim_{k\to \infty}\int_A \cos(kt) \text{d}t=0. $

Published on 29 Mar 2017 - 15:20

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$M > 0$ such that for any partition $\{x_0, ... , x_n \}$ of $[a, b]$, $ \sum_{k=1}^{n}\dfrac{|F(x_k)-F(x_{k-1}|^p}{|x_k-x_{k-1}|^{p-1}}\le M.$

Published on 30 Mar 2017 - 12:00

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$f$ is upper function but $-f$ is not

Published on 31 Mar 2017 - 6:21

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Find $\int_M|y|dS$ over set of line segments connecting $A=\{(x,y,z):x^2+y^2=1,x+z=1\}$ with $(0,0,0)$

Published on 31 Mar 2017 - 14:38

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If |f| is (lebesgue) measurable, is f measurable?

Published on 01 Apr 2017 - 1:34

347

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$\int_0^1 \log(x) dx = -1$ but lower Riemann sum is $-\infty$?

Published on 01 Apr 2026 - 5:05

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Find volume of $A=\{(x,y,z): x^2+y^2+z^2<1,(x-1/2)^2+y^2<1/4\}$

Published on 02 Apr 2026 - 23:53

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Prove that $\int_0^2\Big(\int_{y/2}^2e^{-x^2}dx\Big)dy=1-e^{-1}$

Published on 01 Apr 2017 - 15:18

23

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Help with this Lebesgue Integral Question

Published on 08 Apr 2026 - 20:15

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Proving convergence of $\int_0^\infty e^{-y} dy$

Published on 01 Apr 2017 - 17:05

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convergence of integral-condition

Published on 01 Apr 2017 - 17:09

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Is there a general theory of the "improper" Lebesgue integral?

Published on 09 Apr 2026 - 22:14

List Question

Is Trigamma function integrable?

Asymptotics of a function

Lebesgue Integral of a piecewise defined function defined on irrationals and rationals(GATE-2017)

Let $A\subset [-\pi, \pi]$ be a measurable set. Show that $\lim_{k\to \infty}\int_A \cos(kt) \text{d}t=0. $

$M > 0$ such that for any partition $\{x_0, ... , x_n \}$ of $[a, b]$, $ \sum_{k=1}^{n}\dfrac{|F(x_k)-F(x_{k-1}|^p}{|x_k-x_{k-1}|^{p-1}}\le M.$

$f$ is upper function but $-f$ is not

Find $\int_M|y|dS$ over set of line segments connecting $A=\{(x,y,z):x^2+y^2=1,x+z=1\}$ with $(0,0,0)$

If |f| is (lebesgue) measurable, is f measurable?

$\int_0^1 \log(x) dx = -1$ but lower Riemann sum is $-\infty$?

Find volume of $A=\{(x,y,z): x^2+y^2+z^2<1,(x-1/2)^2+y^2<1/4\}$

Prove that $\int_0^2\Big(\int_{y/2}^2e^{-x^2}dx\Big)dy=1-e^{-1}$

Help with this Lebesgue Integral Question

Proving convergence of $\int_0^\infty e^{-y} dy$

convergence of integral-condition

Is there a general theory of the "improper" Lebesgue integral?

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