So, I think the integral is divergent because at $x = 0, y = 0, z = 0$ the function value goes to infinity. The integral value, of course, skyrockets.
So, I have tried running the integral as close to zero as possible. It is very clear how the integral value increases by crazy amounts when $x,y,z \rightarrow 0$, whereas when the values are 0.1 the integral is much smaller.
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Ok, so you have adjusted accuracy and brought the values of x,y and z closer to 0. But that doesn't change the fact that $f(x,y,z)$ is undefined at $x,y,z$ = 0
I was wrong about the computer's capability lmao. The number of iterations are manageable. Previously I thought it was too big, but that was just a code error.
@Lil Doug
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Yeah; there's no doubt about it; the integral you gave me is divergent. You can see it clearly as the integral value skyrockets as x, y and z approach zero. And you have a division by zero error the compiler gives when x y and z = 0.
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Top Newest@Krishna Karthik i have made some changes in the code
and now the answer is $-15.15$
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Ok, so you have adjusted accuracy and brought the values of x,y and z closer to 0. But that doesn't change the fact that $f(x,y,z)$ is undefined at $x,y,z$ = 0
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@Krishna Karthik but if we want a perfect answer than ,then we have to do that as much as we want
by the way how to write that in python in brilliant ,i just forgot
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Above and below your code, on new lines. At the top after the three character thing, on the same line, type "python".
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I have tried bringing x,y, and z closer to 0, but the value of the integral only gets greater (by large amounts). I think this proves its divergence.
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Bro I like your new profile pic and description. It screams: "Badass; rich guy"
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Thanks,by the way @Steven Chase seems me a badass guy.
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@Krishna Karthik I have posted the problem here
And this problem need this hard integral , which we were solving.
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But how? The integral is divergent. Did you actually manage to solve the integral?
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@Krishna Karthik i was getting 0.4 many times, therefore I considered it as a right answer.
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@Krishna Karthik after that integral my calculation says that we have to divide by 2
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@Krishna Karthik I think the answer should be positive.
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I'll check.
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There is one small thing: the function skyrockets to infinity when x = 0, y = 0, and z = 0
Personally, I think the integral is divergent.
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@Krishna Karthik i think when i will post this problem , it will be the hardest problem of whole electricty and magnetsim in brilliant.
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Good one bud
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But I think evidence shows that the integral is divergent, much like $\displaystyle \int_{0}^{1} \frac{1}{x} dx$ is.
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@Krishna Karthik bro the answer is coming in 1 second ,how it is possible ,it is very hard integral??
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I was wrong about the computer's capability lmao. The number of iterations are manageable. Previously I thought it was too big, but that was just a code error.
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@Krishna Karthik i am surprising by new answer everytime
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Ok, got it. Now I'm getting something around the 0.4 ballpark.
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@Krishna Karthik what do you mean by ballpark?
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@Krishna Karthik bro so which answer is correct??
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Let me do some more testing.
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What??? I lowered the x y and z values toward zero more, and now I'm getting 47. ???
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@Krishna Karthik ha ha ha ha i laughed so hard by reading the above comment.
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@Krishna Karthik but why the integral is divergent ? the problem which i am making should definitey have some answer .
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Anyway, gtg. See ya.
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@Krishna Karthik what this above comment mean ??
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@Krishna Karthik so what about the integral. Did Steven sir helped you??
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@Krishna Karthik let me the run the code $1000$ time by different values .
and then we will take the average of all those $1000$ values.ha ha ha
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Lol
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Bruh
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Ok, I might just ask Steven Chase or someone to confirm what's going on.
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@Neeraj Anand Badgujar
So the integral you wished for me to calculate was wrong? That makes sense. I just saw the numerical solution by Steven Chase. It was quite brilliant.
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@Krishna Karthik if we calculate my integral very accurately so may be we will get correct answer?
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