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 $iint_partial B_1(0)fracdOmegaleft(1+acdot rright)left(1+bcdot rright)$










1












$begingroup$


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










share|cite|improve this question









$endgroup$
















    1












    $begingroup$


    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










    share|cite|improve this question









    $endgroup$














      1












      1








      1





      $begingroup$


      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










      share|cite|improve this question









      $endgroup$




      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






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Mar 24 at 17:22









      LinxiaodiuLinxiaodiu

      111




      111




















          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
          );



          );













          draft saved

          draft discarded


















          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















          draft saved

          draft discarded
















































          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.




          draft saved


          draft discarded














          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





















































          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







          Popular posts from this blog

          How should I support this large drywall patch? Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern) Announcing the arrival of Valued Associate #679: Cesar Manara Unicorn Meta Zoo #1: Why another podcast?How do I cover large gaps in drywall?How do I keep drywall around a patch from crumbling?Can I glue a second layer of drywall?How to patch long strip on drywall?Large drywall patch: how to avoid bulging seams?Drywall Mesh Patch vs. Bulge? To remove or not to remove?How to fix this drywall job?Prep drywall before backsplashWhat's the best way to fix this horrible drywall patch job?Drywall patching using 3M Patch Plus Primer

          random experiment with two different functions on unit interval Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Random variable and probability space notionsRandom Walk with EdgesFinding functions where the increase over a random interval is Poisson distributedNumber of days until dayCan an observed event in fact be of zero probability?Unit random processmodels of coins and uniform distributionHow to get the number of successes given $n$ trials , probability $P$ and a random variable $X$Absorbing Markov chain in a computer. Is “almost every” turned into always convergence in computer executions?Stopped random walk is not uniformly integrable

          Lowndes Grove History Architecture References Navigation menu32°48′6″N 79°57′58″W / 32.80167°N 79.96611°W / 32.80167; -79.9661132°48′6″N 79°57′58″W / 32.80167°N 79.96611°W / 32.80167; -79.9661178002500"National Register Information System"Historic houses of South Carolina"Lowndes Grove""+32° 48' 6.00", −79° 57' 58.00""Lowndes Grove, Charleston County (260 St. Margaret St., Charleston)""Lowndes Grove"The Charleston ExpositionIt Happened in South Carolina"Lowndes Grove (House), Saint Margaret Street & Sixth Avenue, Charleston, Charleston County, SC(Photographs)"Plantations of the Carolina Low Countrye