what is the closed form of $int_0^infty frac{x e^{-x}sin(x)}{2x^2+1}dx$ and $int_0^infty frac{x...
-5
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what is the closed form of $$int_0^infty frac{x e^{-x}sin(x)}{2x^2+1}dx ;and int_0^infty frac{x cos(x)}{x^4+1}.dx$$
these problem are very usefull and could help to solve more advanced problems
calculus integration complex-analysis improper-integrals laplace-transform
asked Jan 7 at 18:32
Ahmad AlbawAhmad Albaw
13
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closed as off-topic by RRL, Clarinetist, Frank W., Jack D'Aurizio, mrtaurho Jan 7 at 20:43
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." – RRL, Clarinetist, Frank W., Jack D'Aurizio, mrtaurho
If this question can be reworded to fit the rules in the help center, please edit the question.
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-5
$begingroup$
what is the closed form of $$int_0^infty frac{x e^{-x}sin(x)}{2x^2+1}dx ;and int_0^infty frac{x cos(x)}{x^4+1}.dx$$
these problem are very usefull and could help to solve more advanced problems
calculus integration complex-analysis improper-integrals laplace-transform
asked Jan 7 at 18:32
Ahmad AlbawAhmad Albaw
13
$endgroup$
closed as off-topic by RRL, Clarinetist, Frank W., Jack D'Aurizio, mrtaurho Jan 7 at 20:43
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." – RRL, Clarinetist, Frank W., Jack D'Aurizio, mrtaurho
If this question can be reworded to fit the rules in the help center, please edit the question.
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Your second integral can be expressed by the MeijerG function
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– Dr. Sonnhard Graubner
Jan 7 at 18:38
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Your first integral also
$endgroup$
– Dr. Sonnhard Graubner
Jan 7 at 18:40
$begingroup$
I need the closed form of one of them just no problem
$endgroup$
– Ahmad Albaw
Jan 7 at 18:47
$begingroup$
The second integral can be evaluated using differentiation under the integral and integration by parts
$endgroup$
– Frank W.
Jan 7 at 19:21
$begingroup$
Can you also post any attempts or some context? Why do you need to evaluate these two integrals specifically? What kind of advanced problems need to be solved?
$endgroup$
– Frank W.
Jan 7 at 19:22
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show 1 more comment
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-5
-5
$begingroup$
what is the closed form of $$int_0^infty frac{x e^{-x}sin(x)}{2x^2+1}dx ;and int_0^infty frac{x cos(x)}{x^4+1}.dx$$
these problem are very usefull and could help to solve more advanced problems
calculus integration complex-analysis improper-integrals laplace-transform
asked Jan 7 at 18:32
Ahmad AlbawAhmad Albaw
13
$endgroup$
what is the closed form of $$int_0^infty frac{x e^{-x}sin(x)}{2x^2+1}dx ;and int_0^infty frac{x cos(x)}{x^4+1}.dx$$
these problem are very usefull and could help to solve more advanced problems
calculus integration complex-analysis improper-integrals laplace-transform
calculus integration complex-analysis improper-integrals laplace-transform
asked Jan 7 at 18:32
Ahmad AlbawAhmad Albaw
13
asked Jan 7 at 18:32
Ahmad AlbawAhmad Albaw
13
edited Jan 7 at 19:13
Ahmad Albaw
asked Jan 7 at 18:32
Ahmad AlbawAhmad Albaw
13
asked Jan 7 at 18:32
Ahmad AlbawAhmad Albaw
13
asked Jan 7 at 18:32
Ahmad AlbawAhmad Albaw
13
13
closed as off-topic by RRL, Clarinetist, Frank W., Jack D'Aurizio, mrtaurho Jan 7 at 20:43
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." – RRL, Clarinetist, Frank W., Jack D'Aurizio, mrtaurho
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by RRL, Clarinetist, Frank W., Jack D'Aurizio, mrtaurho Jan 7 at 20:43
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." – RRL, Clarinetist, Frank W., Jack D'Aurizio, mrtaurho
If this question can be reworded to fit the rules in the help center, please edit the question.
$begingroup$
Your second integral can be expressed by the MeijerG function
$endgroup$
– Dr. Sonnhard Graubner
Jan 7 at 18:38
$begingroup$
Your first integral also
$endgroup$
– Dr. Sonnhard Graubner
Jan 7 at 18:40
$begingroup$
I need the closed form of one of them just no problem
$endgroup$
– Ahmad Albaw
Jan 7 at 18:47
$begingroup$
The second integral can be evaluated using differentiation under the integral and integration by parts
$endgroup$
– Frank W.
Jan 7 at 19:21
$begingroup$
Can you also post any attempts or some context? Why do you need to evaluate these two integrals specifically? What kind of advanced problems need to be solved?
$endgroup$
– Frank W.
Jan 7 at 19:22
|
show 1 more comment
$begingroup$
Your second integral can be expressed by the MeijerG function
$endgroup$
– Dr. Sonnhard Graubner
Jan 7 at 18:38
$begingroup$
Your first integral also
$endgroup$
– Dr. Sonnhard Graubner
Jan 7 at 18:40
$begingroup$
I need the closed form of one of them just no problem
$endgroup$
– Ahmad Albaw
Jan 7 at 18:47
$begingroup$
The second integral can be evaluated using differentiation under the integral and integration by parts
$endgroup$
– Frank W.
Jan 7 at 19:21
$begingroup$
Can you also post any attempts or some context? Why do you need to evaluate these two integrals specifically? What kind of advanced problems need to be solved?
$endgroup$
– Frank W.
Jan 7 at 19:22
$begingroup$
Your second integral can be expressed by the MeijerG function
$endgroup$
– Dr. Sonnhard Graubner
Jan 7 at 18:38
$begingroup$
Your second integral can be expressed by the MeijerG function
$endgroup$
– Dr. Sonnhard Graubner
Jan 7 at 18:38
$begingroup$
Your first integral also
$endgroup$
– Dr. Sonnhard Graubner
Jan 7 at 18:40
$begingroup$
Your first integral also
$endgroup$
– Dr. Sonnhard Graubner
Jan 7 at 18:40
$begingroup$
I need the closed form of one of them just no problem
$endgroup$
– Ahmad Albaw
Jan 7 at 18:47
$begingroup$
I need the closed form of one of them just no problem
$endgroup$
– Ahmad Albaw
Jan 7 at 18:47
$begingroup$
The second integral can be evaluated using differentiation under the integral and integration by parts
$endgroup$
– Frank W.
Jan 7 at 19:21
$begingroup$
The second integral can be evaluated using differentiation under the integral and integration by parts
$endgroup$
– Frank W.
Jan 7 at 19:21
$begingroup$
Can you also post any attempts or some context? Why do you need to evaluate these two integrals specifically? What kind of advanced problems need to be solved?
$endgroup$
– Frank W.
Jan 7 at 19:22
$begingroup$
Can you also post any attempts or some context? Why do you need to evaluate these two integrals specifically? What kind of advanced problems need to be solved?
$endgroup$
– Frank W.
Jan 7 at 19:22
|
show 1 more comment
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$begingroup$
Your second integral can be expressed by the MeijerG function
$endgroup$
– Dr. Sonnhard Graubner
Jan 7 at 18:38
$begingroup$
Your first integral also
$endgroup$
– Dr. Sonnhard Graubner
Jan 7 at 18:40
$begingroup$
I need the closed form of one of them just no problem
$endgroup$
– Ahmad Albaw
Jan 7 at 18:47
$begingroup$
The second integral can be evaluated using differentiation under the integral and integration by parts
$endgroup$
– Frank W.
Jan 7 at 19:21
$begingroup$
Can you also post any attempts or some context? Why do you need to evaluate these two integrals specifically? What kind of advanced problems need to be solved?
$endgroup$
– Frank W.
Jan 7 at 19:22