Indefinite integral of $frac{1}{sin(ln x)}$
0
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I have to find the indefinite integral of $frac{1}{sin(ln x)}$ and it seems that it doesn't work with the method used for the integral $sin(ln x)$.
Is there anyone who can help me with this? Your help will be much appreciated. Thank you for your time.
indefinite-integrals
edited Jan 13 at 16:48
KM101
6,0901525
asked Jan 13 at 16:46
we_morwe_mor
31
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|
show 1 more comment
0
$begingroup$
I have to find the indefinite integral of $frac{1}{sin(ln x)}$ and it seems that it doesn't work with the method used for the integral $sin(ln x)$.
Is there anyone who can help me with this? Your help will be much appreciated. Thank you for your time.
indefinite-integrals
edited Jan 13 at 16:48
KM101
6,0901525
asked Jan 13 at 16:46
we_morwe_mor
31
$endgroup$
$begingroup$
This is definitely not solvable with elementary means.
$endgroup$
– Parcly Taxel
Jan 13 at 16:48
$begingroup$
Is there any way of proving that this integral is not solvable? This integral is a part of an exercise for our semester university project.
$endgroup$
– we_mor
Jan 13 at 16:56
$begingroup$
Use Risch's algorithm.
$endgroup$
– Parcly Taxel
Jan 13 at 16:57
$begingroup$
According to Wolfram Alpha, it is solvable but complex.
$endgroup$
– poetasis
Jan 13 at 17:14
$begingroup$
@poetasis The question is whether hypergeometric function is acceptable for presentation of the solution. If the set of functions is unrestricted then any integral is obviously "solvable".
$endgroup$
– user
Jan 13 at 23:00
|
show 1 more comment
0
0
0
$begingroup$
I have to find the indefinite integral of $frac{1}{sin(ln x)}$ and it seems that it doesn't work with the method used for the integral $sin(ln x)$.
Is there anyone who can help me with this? Your help will be much appreciated. Thank you for your time.
indefinite-integrals
edited Jan 13 at 16:48
KM101
6,0901525
asked Jan 13 at 16:46
we_morwe_mor
31
$endgroup$
I have to find the indefinite integral of $frac{1}{sin(ln x)}$ and it seems that it doesn't work with the method used for the integral $sin(ln x)$.
Is there anyone who can help me with this? Your help will be much appreciated. Thank you for your time.
indefinite-integrals
indefinite-integrals
edited Jan 13 at 16:48
KM101
6,0901525
asked Jan 13 at 16:46
we_morwe_mor
31
edited Jan 13 at 16:48
KM101
6,0901525
asked Jan 13 at 16:46
we_morwe_mor
31
edited Jan 13 at 16:48
KM101
6,0901525
edited Jan 13 at 16:48
KM101
6,0901525
edited Jan 13 at 16:48
KM101
6,0901525
6,0901525
asked Jan 13 at 16:46
we_morwe_mor
31
asked Jan 13 at 16:46
we_morwe_mor
31
asked Jan 13 at 16:46
we_morwe_mor
31
31
$begingroup$
This is definitely not solvable with elementary means.
$endgroup$
– Parcly Taxel
Jan 13 at 16:48
$begingroup$
Is there any way of proving that this integral is not solvable? This integral is a part of an exercise for our semester university project.
$endgroup$
– we_mor
Jan 13 at 16:56
$begingroup$
Use Risch's algorithm.
$endgroup$
– Parcly Taxel
Jan 13 at 16:57
$begingroup$
According to Wolfram Alpha, it is solvable but complex.
$endgroup$
– poetasis
Jan 13 at 17:14
$begingroup$
@poetasis The question is whether hypergeometric function is acceptable for presentation of the solution. If the set of functions is unrestricted then any integral is obviously "solvable".
$endgroup$
– user
Jan 13 at 23:00
|
show 1 more comment
$begingroup$
This is definitely not solvable with elementary means.
$endgroup$
– Parcly Taxel
Jan 13 at 16:48
$begingroup$
Is there any way of proving that this integral is not solvable? This integral is a part of an exercise for our semester university project.
$endgroup$
– we_mor
Jan 13 at 16:56
$begingroup$
Use Risch's algorithm.
$endgroup$
– Parcly Taxel
Jan 13 at 16:57
$begingroup$
According to Wolfram Alpha, it is solvable but complex.
$endgroup$
– poetasis
Jan 13 at 17:14
$begingroup$
@poetasis The question is whether hypergeometric function is acceptable for presentation of the solution. If the set of functions is unrestricted then any integral is obviously "solvable".
$endgroup$
– user
Jan 13 at 23:00
$begingroup$
This is definitely not solvable with elementary means.
$endgroup$
– Parcly Taxel
Jan 13 at 16:48
$begingroup$
This is definitely not solvable with elementary means.
$endgroup$
– Parcly Taxel
Jan 13 at 16:48
$begingroup$
Is there any way of proving that this integral is not solvable? This integral is a part of an exercise for our semester university project.
$endgroup$
– we_mor
Jan 13 at 16:56
$begingroup$
Is there any way of proving that this integral is not solvable? This integral is a part of an exercise for our semester university project.
$endgroup$
– we_mor
Jan 13 at 16:56
$begingroup$
Use Risch's algorithm.
$endgroup$
– Parcly Taxel
Jan 13 at 16:57
$begingroup$
Use Risch's algorithm.
$endgroup$
– Parcly Taxel
Jan 13 at 16:57
$begingroup$
According to Wolfram Alpha, it is solvable but complex.
$endgroup$
– poetasis
Jan 13 at 17:14
$begingroup$
According to Wolfram Alpha, it is solvable but complex.
$endgroup$
– poetasis
Jan 13 at 17:14
$begingroup$
@poetasis The question is whether hypergeometric function is acceptable for presentation of the solution. If the set of functions is unrestricted then any integral is obviously "solvable".
$endgroup$
– user
Jan 13 at 23:00
$begingroup$
@poetasis The question is whether hypergeometric function is acceptable for presentation of the solution. If the set of functions is unrestricted then any integral is obviously "solvable".
$endgroup$
– user
Jan 13 at 23:00
|
show 1 more comment
0
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$begingroup$
This is definitely not solvable with elementary means.
$endgroup$
– Parcly Taxel
Jan 13 at 16:48
$begingroup$
Is there any way of proving that this integral is not solvable? This integral is a part of an exercise for our semester university project.
$endgroup$
– we_mor
Jan 13 at 16:56
$begingroup$
Use Risch's algorithm.
$endgroup$
– Parcly Taxel
Jan 13 at 16:57
$begingroup$
According to Wolfram Alpha, it is solvable but complex.
$endgroup$
– poetasis
Jan 13 at 17:14
$begingroup$
@poetasis The question is whether hypergeometric function is acceptable for presentation of the solution. If the set of functions is unrestricted then any integral is obviously "solvable".
$endgroup$
– user
Jan 13 at 23:00