Indefinite integral of $lnbig(arccos(5x)/arcsin(3x)big)$ [closed]












2












$begingroup$



Find $$int,lnleft(frac{arccos(5x)}{arcsin(3x)}right),text{d}x,.$$




Can anyone find this one for me please or at least give me the steps to work it out please.










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$endgroup$



closed as off-topic by Brahadeesh, Arnaud D., Mostafa Ayaz, user10354138, amWhy Dec 14 '18 at 20:27


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." – Brahadeesh, Arnaud D., Mostafa Ayaz, user10354138, amWhy

If this question can be reworded to fit the rules in the help center, please edit the question.












  • 1




    $begingroup$
    Use proofwiki.org/wiki/Difference_of_Logarithms and mathworld.wolfram.com/IntegrationbyParts.html
    $endgroup$
    – lab bhattacharjee
    Dec 14 '18 at 17:24










  • $begingroup$
    This may be useful.
    $endgroup$
    – Decaf-Math
    Dec 14 '18 at 17:36










  • $begingroup$
    @Decaf-Math this link 1) isn't useful because it cannot give the method to follow 2) I have tried it with a failure to give an answer
    $endgroup$
    – Jean Marie
    Dec 14 '18 at 17:56






  • 2




    $begingroup$
    @Gady-ManuelAlaoui Normally I would respect the hold and not comment, but this question is so tricky that I feel it is unreasonable to expect you to "show your work". I will give a series of comments that provide an outline of the solution.
    $endgroup$
    – user2661923
    Dec 14 '18 at 20:36






  • 1




    $begingroup$
    Using integration by parts, $I = ln(u)cos(u) - int [(cos u)/u] ;du.$ Re one of my previous comments, this completes the problem, at least as far as $int ln[text{arccos}(x)] ;dx$ is concerned.
    $endgroup$
    – user2661923
    Dec 14 '18 at 20:50


















2












$begingroup$



Find $$int,lnleft(frac{arccos(5x)}{arcsin(3x)}right),text{d}x,.$$




Can anyone find this one for me please or at least give me the steps to work it out please.










share|cite|improve this question











$endgroup$



closed as off-topic by Brahadeesh, Arnaud D., Mostafa Ayaz, user10354138, amWhy Dec 14 '18 at 20:27


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." – Brahadeesh, Arnaud D., Mostafa Ayaz, user10354138, amWhy

If this question can be reworded to fit the rules in the help center, please edit the question.












  • 1




    $begingroup$
    Use proofwiki.org/wiki/Difference_of_Logarithms and mathworld.wolfram.com/IntegrationbyParts.html
    $endgroup$
    – lab bhattacharjee
    Dec 14 '18 at 17:24










  • $begingroup$
    This may be useful.
    $endgroup$
    – Decaf-Math
    Dec 14 '18 at 17:36










  • $begingroup$
    @Decaf-Math this link 1) isn't useful because it cannot give the method to follow 2) I have tried it with a failure to give an answer
    $endgroup$
    – Jean Marie
    Dec 14 '18 at 17:56






  • 2




    $begingroup$
    @Gady-ManuelAlaoui Normally I would respect the hold and not comment, but this question is so tricky that I feel it is unreasonable to expect you to "show your work". I will give a series of comments that provide an outline of the solution.
    $endgroup$
    – user2661923
    Dec 14 '18 at 20:36






  • 1




    $begingroup$
    Using integration by parts, $I = ln(u)cos(u) - int [(cos u)/u] ;du.$ Re one of my previous comments, this completes the problem, at least as far as $int ln[text{arccos}(x)] ;dx$ is concerned.
    $endgroup$
    – user2661923
    Dec 14 '18 at 20:50
















2












2








2


1



$begingroup$



Find $$int,lnleft(frac{arccos(5x)}{arcsin(3x)}right),text{d}x,.$$




Can anyone find this one for me please or at least give me the steps to work it out please.










share|cite|improve this question











$endgroup$





Find $$int,lnleft(frac{arccos(5x)}{arcsin(3x)}right),text{d}x,.$$




Can anyone find this one for me please or at least give me the steps to work it out please.







calculus integration trigonometry logarithms indefinite-integrals






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Dec 14 '18 at 22:01









Jam

4,98421431




4,98421431










asked Dec 14 '18 at 17:22









Gady-Manuel AlaouiGady-Manuel Alaoui

171




171




closed as off-topic by Brahadeesh, Arnaud D., Mostafa Ayaz, user10354138, amWhy Dec 14 '18 at 20:27


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." – Brahadeesh, Arnaud D., Mostafa Ayaz, user10354138, amWhy

If this question can be reworded to fit the rules in the help center, please edit the question.







closed as off-topic by Brahadeesh, Arnaud D., Mostafa Ayaz, user10354138, amWhy Dec 14 '18 at 20:27


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." – Brahadeesh, Arnaud D., Mostafa Ayaz, user10354138, amWhy

If this question can be reworded to fit the rules in the help center, please edit the question.








  • 1




    $begingroup$
    Use proofwiki.org/wiki/Difference_of_Logarithms and mathworld.wolfram.com/IntegrationbyParts.html
    $endgroup$
    – lab bhattacharjee
    Dec 14 '18 at 17:24










  • $begingroup$
    This may be useful.
    $endgroup$
    – Decaf-Math
    Dec 14 '18 at 17:36










  • $begingroup$
    @Decaf-Math this link 1) isn't useful because it cannot give the method to follow 2) I have tried it with a failure to give an answer
    $endgroup$
    – Jean Marie
    Dec 14 '18 at 17:56






  • 2




    $begingroup$
    @Gady-ManuelAlaoui Normally I would respect the hold and not comment, but this question is so tricky that I feel it is unreasonable to expect you to "show your work". I will give a series of comments that provide an outline of the solution.
    $endgroup$
    – user2661923
    Dec 14 '18 at 20:36






  • 1




    $begingroup$
    Using integration by parts, $I = ln(u)cos(u) - int [(cos u)/u] ;du.$ Re one of my previous comments, this completes the problem, at least as far as $int ln[text{arccos}(x)] ;dx$ is concerned.
    $endgroup$
    – user2661923
    Dec 14 '18 at 20:50
















  • 1




    $begingroup$
    Use proofwiki.org/wiki/Difference_of_Logarithms and mathworld.wolfram.com/IntegrationbyParts.html
    $endgroup$
    – lab bhattacharjee
    Dec 14 '18 at 17:24










  • $begingroup$
    This may be useful.
    $endgroup$
    – Decaf-Math
    Dec 14 '18 at 17:36










  • $begingroup$
    @Decaf-Math this link 1) isn't useful because it cannot give the method to follow 2) I have tried it with a failure to give an answer
    $endgroup$
    – Jean Marie
    Dec 14 '18 at 17:56






  • 2




    $begingroup$
    @Gady-ManuelAlaoui Normally I would respect the hold and not comment, but this question is so tricky that I feel it is unreasonable to expect you to "show your work". I will give a series of comments that provide an outline of the solution.
    $endgroup$
    – user2661923
    Dec 14 '18 at 20:36






  • 1




    $begingroup$
    Using integration by parts, $I = ln(u)cos(u) - int [(cos u)/u] ;du.$ Re one of my previous comments, this completes the problem, at least as far as $int ln[text{arccos}(x)] ;dx$ is concerned.
    $endgroup$
    – user2661923
    Dec 14 '18 at 20:50










1




1




$begingroup$
Use proofwiki.org/wiki/Difference_of_Logarithms and mathworld.wolfram.com/IntegrationbyParts.html
$endgroup$
– lab bhattacharjee
Dec 14 '18 at 17:24




$begingroup$
Use proofwiki.org/wiki/Difference_of_Logarithms and mathworld.wolfram.com/IntegrationbyParts.html
$endgroup$
– lab bhattacharjee
Dec 14 '18 at 17:24












$begingroup$
This may be useful.
$endgroup$
– Decaf-Math
Dec 14 '18 at 17:36




$begingroup$
This may be useful.
$endgroup$
– Decaf-Math
Dec 14 '18 at 17:36












$begingroup$
@Decaf-Math this link 1) isn't useful because it cannot give the method to follow 2) I have tried it with a failure to give an answer
$endgroup$
– Jean Marie
Dec 14 '18 at 17:56




$begingroup$
@Decaf-Math this link 1) isn't useful because it cannot give the method to follow 2) I have tried it with a failure to give an answer
$endgroup$
– Jean Marie
Dec 14 '18 at 17:56




2




2




$begingroup$
@Gady-ManuelAlaoui Normally I would respect the hold and not comment, but this question is so tricky that I feel it is unreasonable to expect you to "show your work". I will give a series of comments that provide an outline of the solution.
$endgroup$
– user2661923
Dec 14 '18 at 20:36




$begingroup$
@Gady-ManuelAlaoui Normally I would respect the hold and not comment, but this question is so tricky that I feel it is unreasonable to expect you to "show your work". I will give a series of comments that provide an outline of the solution.
$endgroup$
– user2661923
Dec 14 '18 at 20:36




1




1




$begingroup$
Using integration by parts, $I = ln(u)cos(u) - int [(cos u)/u] ;du.$ Re one of my previous comments, this completes the problem, at least as far as $int ln[text{arccos}(x)] ;dx$ is concerned.
$endgroup$
– user2661923
Dec 14 '18 at 20:50






$begingroup$
Using integration by parts, $I = ln(u)cos(u) - int [(cos u)/u] ;du.$ Re one of my previous comments, this completes the problem, at least as far as $int ln[text{arccos}(x)] ;dx$ is concerned.
$endgroup$
– user2661923
Dec 14 '18 at 20:50












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