Question

Solve integral $\iiint_Ax^pdxdydz$ on $A=\{(x,y,z):x^2+y^2+z^2<x^{\frac{1}{3}}\}$

score 46 · Answer 1 · 2017-03-09 14:10:24

46

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Solve integral $\iiint_Ax^pdxdydz$ on $A=\{(x,y,z):x^2+y^2+z^2<x^{\frac{1}{3}}\}$

Published on 09 Mar 2017 - 14:10

score 17 · Answer 2 · 2026-03-14 14:21:02

17

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Gereralized function with 2nd species singularity integrable

Published on 14 Mar 2026 - 14:21

score 613 · Answer 3 · 2017-03-10 22:16:47

613

Views

What is the Lebesgue integral of $1/x$ on $[0,1]$?

Published on 10 Mar 2017 - 22:16

score 50 · Answer 4 · 2026-03-26 11:01:35

50

Views

How to integrate these: $\iiiint_A\frac{t^2dtdxdydz}{t^2+2x^2+3y^2+4z^2}$ and another one in wolfram alpha?

Published on 26 Mar 2026 - 11:01

score 197 · Answer 5 · 2017-03-11 21:02:35

197

Views

Show that $\sup\left\{\frac{1}{\varepsilon}\int_{\{|f|<\varepsilon\}}|f'(x)|dx:\varepsilon\in(0,1]\right\}$ is finite

Published on 11 Mar 2017 - 21:02

score 132 · Answer 6 · 2026-04-08 14:35:02

132

Views

If $f_n\to f$ in $L^1(\Bbb R)$ and $f_n\to g$ in $L^2(\Bbb R)$,deduce that $f=g$ a.e.

Published on 08 Apr 2026 - 14:35

score 37 · Answer 7 · 2017-03-14 03:53:33

37

Views

Different representation of a Lebesgue integral

Published on 14 Mar 2017 - 3:53

score 3.9k · Answer 8 · 2017-03-14 04:12:32

3.9k

Views

If Integral is zero then function is zero almost everywhere

Published on 14 Mar 2017 - 4:12

score 99 · Answer 9 · 2017-03-15 14:54:25

99

Views

Calculate $\iiint x^2+y^2+z^2dxdydz$ given $x^2+y^2+z^2<x+y+z$

Published on 15 Mar 2017 - 14:54

score 641 · Answer 10 · 2017-03-15 23:24:47

641

Views

Can the graph of a non-measurable function be a zero set?

Published on 15 Mar 2017 - 23:24

score 291 · Answer 11 · 2026-04-07 19:58:58

291

Views

Example showing the subspace of Riemann integrable functions in $L^2([-\pi,\pi])$ is not closed

Published on 07 Apr 2026 - 19:58

score 506 · Answer 12 · 2026-03-28 21:58:24

506

Views

A condition for measure preserving transformation

Published on 28 Mar 2026 - 21:58

score 3.2k · Answer 13 · 2017-03-17 07:17:45

3.2k

Views

Interchange limit and integral

Published on 17 Mar 2017 - 7:17

score 30 · Answer 14 · 2017-03-19 09:50:48

30

Views

$\{\Phi_I\}_{I\in F}$-regular function is infinity only on a measure 0 set.

Published on 19 Mar 2017 - 9:50

score 1.4k · Answer 15 · 2017-03-20 11:42:39

1.4k

Views

Approximation of an integrable function by a simple function

Published on 20 Mar 2017 - 11:42

List Question

Solve integral $\iiint_Ax^pdxdydz$ on $A=\{(x,y,z):x^2+y^2+z^2<x^{\frac{1}{3}}\}$

Gereralized function with 2nd species singularity integrable

What is the Lebesgue integral of $1/x$ on $[0,1]$?

How to integrate these: $\iiiint_A\frac{t^2dtdxdydz}{t^2+2x^2+3y^2+4z^2}$ and another one in wolfram alpha?

Show that $\sup\left\{\frac{1}{\varepsilon}\int_{\{|f|<\varepsilon\}}|f'(x)|dx:\varepsilon\in(0,1]\right\}$ is finite

If $f_n\to f$ in $L^1(\Bbb R)$ and $f_n\to g$ in $L^2(\Bbb R)$,deduce that $f=g$ a.e.

Different representation of a Lebesgue integral

If Integral is zero then function is zero almost everywhere

Calculate $\iiint x^2+y^2+z^2dxdydz$ given $x^2+y^2+z^2<x+y+z$

Can the graph of a non-measurable function be a zero set?

Example showing the subspace of Riemann integrable functions in $L^2([-\pi,\pi])$ is not closed

A condition for measure preserving transformation

Interchange limit and integral

$\{\Phi_I\}_{I\in F}$-regular function is infinity only on a measure 0 set.

Approximation of an integrable function by a simple function

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