About $displaystyleint_mathbbR_y^3int_mathbbS^2e^x-[(x-y)cdotomega]omegadomega dy$? The 2019 Stack Overflow Developer Survey Results Are In Unicorn Meta Zoo #1: Why another podcast? Announcing the arrival of Valued Associate #679: Cesar ManaraSurface integral over an inconvenient surfaceFinding volume between plane and paraboloidConvolution integralCan this integral be computed in closed-form?Compute the following triple integral on an ellipsoidEquivalent normal vectors to a surfaceCalculate $ int_gamma omega$ where $ omega(x,y)=frac-ydx+xdyx^2+y^2 $compute $int_Qfrac1 , dx$ on $Q=[0,1]^2$Evaluate $int_0^1 int_0^1 int_0^1 frac1x^2+y^2+z^2dxdydz$On the integral $iint_partial B_1(0)fracdOmegaleft(1+acdot rright)left(1+bcdot rright)$
How did passengers keep warm on sail ships?
Simulating Exploding Dice
How did the audience guess the pentatonic scale in Bobby McFerrin's presentation?
Is there a way to generate uniformly distributed points on a sphere from a fixed amount of random real numbers per point?
What to do when moving next to a bird sanctuary with a loosely-domesticated cat?
Deal with toxic manager when you can't quit
Why can't wing-mounted spoilers be used to steepen approaches?
For what reasons would an animal species NOT cross a *horizontal* land bridge?
Mortgage adviser recommends a longer term than necessary combined with overpayments
Are there continuous functions who are the same in an interval but differ in at least one other point?
Can the DM override racial traits?
What is the role of 'For' here?
Did the UK government pay "millions and millions of dollars" to try to snag Julian Assange?
"is" operation returns false with ndarray.data attribute, even though two array objects have same id
What do I do when my TA workload is more than expected?
Why can't devices on different VLANs, but on the same subnet, communicate?
Example of compact Riemannian manifold with only one geodesic.
Presidential Pardon
Why not take a picture of a closer black hole?
Does Parliament hold absolute power in the UK?
How to determine omitted units in a publication
should truth entail possible truth
Homework question about an engine pulling a train
Why doesn't a hydraulic lever violate conservation of energy?
About $displaystyleint_mathbbR_y^3int_mathbbS^2e^x-[(x-y)cdotomega]omegadomega dy$?
The 2019 Stack Overflow Developer Survey Results Are In
Unicorn Meta Zoo #1: Why another podcast?
Announcing the arrival of Valued Associate #679: Cesar ManaraSurface integral over an inconvenient surfaceFinding volume between plane and paraboloidConvolution integralCan this integral be computed in closed-form?Compute the following triple integral on an ellipsoidEquivalent normal vectors to a surfaceCalculate $ int_gamma omega$ where $ omega(x,y)=frac-ydx+xdyx^2+y^2 $compute $int_Qfrac1 , dx$ on $Q=[0,1]^2$Evaluate $int_0^1 int_0^1 int_0^1 frac1x^2+y^2+z^2dxdydz$On the integral $iint_partial B_1(0)fracdOmegaleft(1+acdot rright)left(1+bcdot rright)$
$begingroup$
An integral has been pushed me over the edge for several weeks. It reads as:
$$displaystyleint_mathbbR_y^3int_mathbbS^2e^x-[(x-y)cdotomega]omegadomega dy$$
I tried to calculate the surface integral inside using spherical coordinates, but it seems that I couldn't do any further calculation since the integrand function is something like
$$e^-big(k_1(varphi)sin^2theta+k_2(varphi)cos^2theta+k_3(varphi)sinthetacosthetabig)sintheta .$$
Then I tried to use variable substitution to compute, similarly, I didn't get anything useful. I was also trying to use Maple to compute, but it didn't work at all. My original intention is to prove that the formula
$$displaystyle e^^2int_mathbbR_y^3int_mathbbS^2e^x-[(x-y)cdotomega]omegadomega dy$$
is bounded.
I would be grateful if you could give me a definite result.@Sos404
real-analysis integration multivariable-calculus
$endgroup$
add a comment |
$begingroup$
An integral has been pushed me over the edge for several weeks. It reads as:
$$displaystyleint_mathbbR_y^3int_mathbbS^2e^x-[(x-y)cdotomega]omegadomega dy$$
I tried to calculate the surface integral inside using spherical coordinates, but it seems that I couldn't do any further calculation since the integrand function is something like
$$e^-big(k_1(varphi)sin^2theta+k_2(varphi)cos^2theta+k_3(varphi)sinthetacosthetabig)sintheta .$$
Then I tried to use variable substitution to compute, similarly, I didn't get anything useful. I was also trying to use Maple to compute, but it didn't work at all. My original intention is to prove that the formula
$$displaystyle e^^2int_mathbbR_y^3int_mathbbS^2e^x-[(x-y)cdotomega]omegadomega dy$$
is bounded.
I would be grateful if you could give me a definite result.@Sos404
real-analysis integration multivariable-calculus
$endgroup$
add a comment |
$begingroup$
An integral has been pushed me over the edge for several weeks. It reads as:
$$displaystyleint_mathbbR_y^3int_mathbbS^2e^x-[(x-y)cdotomega]omegadomega dy$$
I tried to calculate the surface integral inside using spherical coordinates, but it seems that I couldn't do any further calculation since the integrand function is something like
$$e^-big(k_1(varphi)sin^2theta+k_2(varphi)cos^2theta+k_3(varphi)sinthetacosthetabig)sintheta .$$
Then I tried to use variable substitution to compute, similarly, I didn't get anything useful. I was also trying to use Maple to compute, but it didn't work at all. My original intention is to prove that the formula
$$displaystyle e^^2int_mathbbR_y^3int_mathbbS^2e^x-[(x-y)cdotomega]omegadomega dy$$
is bounded.
I would be grateful if you could give me a definite result.@Sos404
real-analysis integration multivariable-calculus
$endgroup$
An integral has been pushed me over the edge for several weeks. It reads as:
$$displaystyleint_mathbbR_y^3int_mathbbS^2e^x-[(x-y)cdotomega]omegadomega dy$$
I tried to calculate the surface integral inside using spherical coordinates, but it seems that I couldn't do any further calculation since the integrand function is something like
$$e^-big(k_1(varphi)sin^2theta+k_2(varphi)cos^2theta+k_3(varphi)sinthetacosthetabig)sintheta .$$
Then I tried to use variable substitution to compute, similarly, I didn't get anything useful. I was also trying to use Maple to compute, but it didn't work at all. My original intention is to prove that the formula
$$displaystyle e^^2int_mathbbR_y^3int_mathbbS^2e^x-[(x-y)cdotomega]omegadomega dy$$
is bounded.
I would be grateful if you could give me a definite result.@Sos404
real-analysis integration multivariable-calculus
real-analysis integration multivariable-calculus
asked Mar 24 at 17:22
LinxiaodiuLinxiaodiu
111
111
add a comment |
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "69"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);
else
createEditor();
);
function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3160800%2fabout-displaystyle-int-mathbbr-y3-int-mathbbs2e-frac12x%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3160800%2fabout-displaystyle-int-mathbbr-y3-int-mathbbs2e-frac12x%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown