How to compute a multivariable integral [on hold]
-1
How to compute the integral $int_{mathbb{R}^3} exp(-sqrt{1+|p|^2}) dp$, where $p in mathbb{R}^3$?
multivariable-calculus
edited 2 days ago
Robert Z
93.1k1060131
asked Nov 30 at 16:37
Bloodpolyhydron
71
put on hold as off-topic by Jyrki Lahtonen, Brahadeesh, Saad, Tianlalu, José Carlos Santos 2 days ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Jyrki Lahtonen, Brahadeesh, Saad, Tianlalu, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
-1
How to compute the integral $int_{mathbb{R}^3} exp(-sqrt{1+|p|^2}) dp$, where $p in mathbb{R}^3$?
multivariable-calculus
edited 2 days ago
Robert Z
93.1k1060131
asked Nov 30 at 16:37
Bloodpolyhydron
71
put on hold as off-topic by Jyrki Lahtonen, Brahadeesh, Saad, Tianlalu, José Carlos Santos 2 days ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Jyrki Lahtonen, Brahadeesh, Saad, Tianlalu, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
2
Is it a line integral? Can you provide more information. In general the function exp(f(p)) has no anti derivative if f(p) is not linear.
– Ameryr
Nov 30 at 16:42
And exp(f(p)) has an anti derivative if also f(p) = ln(g(p)) for some g(p).
– Ameryr
Nov 30 at 16:49
Did you try substitution with spherical coordinates? Show some work! Also, what exactly are you looking for? Do you need or expect an algebraic solution or would a numerical method be enough?
– Mefitico
Nov 30 at 16:50
this is a triple generalized integral
– Bloodpolyhydron
Dec 1 at 5:21
so I think it can not use spherical coordinate to substitude
– Bloodpolyhydron
Dec 1 at 5:23
add a comment |
-1
-1
-1
How to compute the integral $int_{mathbb{R}^3} exp(-sqrt{1+|p|^2}) dp$, where $p in mathbb{R}^3$?
multivariable-calculus
edited 2 days ago
Robert Z
93.1k1060131
asked Nov 30 at 16:37
Bloodpolyhydron
71
How to compute the integral $int_{mathbb{R}^3} exp(-sqrt{1+|p|^2}) dp$, where $p in mathbb{R}^3$?
multivariable-calculus
multivariable-calculus
edited 2 days ago
Robert Z
93.1k1060131
asked Nov 30 at 16:37
Bloodpolyhydron
71
edited 2 days ago
Robert Z
93.1k1060131
asked Nov 30 at 16:37
Bloodpolyhydron
71
edited 2 days ago
Robert Z
93.1k1060131
edited 2 days ago
Robert Z
93.1k1060131
edited 2 days ago
Robert Z
93.1k1060131
93.1k1060131
asked Nov 30 at 16:37
Bloodpolyhydron
71
asked Nov 30 at 16:37
Bloodpolyhydron
71
asked Nov 30 at 16:37
Bloodpolyhydron
71
71
put on hold as off-topic by Jyrki Lahtonen, Brahadeesh, Saad, Tianlalu, José Carlos Santos 2 days ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Jyrki Lahtonen, Brahadeesh, Saad, Tianlalu, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
put on hold as off-topic by Jyrki Lahtonen, Brahadeesh, Saad, Tianlalu, José Carlos Santos 2 days ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Jyrki Lahtonen, Brahadeesh, Saad, Tianlalu, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.
2
Is it a line integral? Can you provide more information. In general the function exp(f(p)) has no anti derivative if f(p) is not linear.
– Ameryr
Nov 30 at 16:42
And exp(f(p)) has an anti derivative if also f(p) = ln(g(p)) for some g(p).
– Ameryr
Nov 30 at 16:49
Did you try substitution with spherical coordinates? Show some work! Also, what exactly are you looking for? Do you need or expect an algebraic solution or would a numerical method be enough?
– Mefitico
Nov 30 at 16:50
this is a triple generalized integral
– Bloodpolyhydron
Dec 1 at 5:21
so I think it can not use spherical coordinate to substitude
– Bloodpolyhydron
Dec 1 at 5:23
add a comment |
2
Is it a line integral? Can you provide more information. In general the function exp(f(p)) has no anti derivative if f(p) is not linear.
– Ameryr
Nov 30 at 16:42
And exp(f(p)) has an anti derivative if also f(p) = ln(g(p)) for some g(p).
– Ameryr
Nov 30 at 16:49
Did you try substitution with spherical coordinates? Show some work! Also, what exactly are you looking for? Do you need or expect an algebraic solution or would a numerical method be enough?
– Mefitico
Nov 30 at 16:50
this is a triple generalized integral
– Bloodpolyhydron
Dec 1 at 5:21
so I think it can not use spherical coordinate to substitude
– Bloodpolyhydron
Dec 1 at 5:23
2
2
Is it a line integral? Can you provide more information. In general the function exp(f(p)) has no anti derivative if f(p) is not linear.
– Ameryr
Nov 30 at 16:42
Is it a line integral? Can you provide more information. In general the function exp(f(p)) has no anti derivative if f(p) is not linear.
– Ameryr
Nov 30 at 16:42
And exp(f(p)) has an anti derivative if also f(p) = ln(g(p)) for some g(p).
– Ameryr
Nov 30 at 16:49
And exp(f(p)) has an anti derivative if also f(p) = ln(g(p)) for some g(p).
– Ameryr
Nov 30 at 16:49
Did you try substitution with spherical coordinates? Show some work! Also, what exactly are you looking for? Do you need or expect an algebraic solution or would a numerical method be enough?
– Mefitico
Nov 30 at 16:50
Did you try substitution with spherical coordinates? Show some work! Also, what exactly are you looking for? Do you need or expect an algebraic solution or would a numerical method be enough?
– Mefitico
Nov 30 at 16:50
this is a triple generalized integral
– Bloodpolyhydron
Dec 1 at 5:21
this is a triple generalized integral
– Bloodpolyhydron
Dec 1 at 5:21
so I think it can not use spherical coordinate to substitude
– Bloodpolyhydron
Dec 1 at 5:23
so I think it can not use spherical coordinate to substitude
– Bloodpolyhydron
Dec 1 at 5:23
add a comment |
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2
Is it a line integral? Can you provide more information. In general the function exp(f(p)) has no anti derivative if f(p) is not linear.
– Ameryr
Nov 30 at 16:42
And exp(f(p)) has an anti derivative if also f(p) = ln(g(p)) for some g(p).
– Ameryr
Nov 30 at 16:49
Did you try substitution with spherical coordinates? Show some work! Also, what exactly are you looking for? Do you need or expect an algebraic solution or would a numerical method be enough?
– Mefitico
Nov 30 at 16:50
this is a triple generalized integral
– Bloodpolyhydron
Dec 1 at 5:21
so I think it can not use spherical coordinate to substitude
– Bloodpolyhydron
Dec 1 at 5:23