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$begingroup$

Does the following integral admit a closed-form ?

$$int_0^1ln(x)arctan(x)ln(arctan(x)) mathrmdx $$

integration trigonometry logarithms

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asked yesterday

Kays Tomy Kays Tomy

20217

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Numerical Approximation is $0.2568709921296973$. I'm not sure if a closed form exists.
  $endgroup$
  – Paras Khosla
  yesterday
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  What have you tried? Where did you get this problem? Do you have any reason to expect a closed form?
  $endgroup$
  – clathratus
  yesterday
  
  

  
  
  
  

add a comment | 

0

1

$begingroup$

Does the following integral admit a closed-form ?

$$int_0^1ln(x)arctan(x)ln(arctan(x)) mathrmdx $$

integration trigonometry logarithms

share|cite|improve this question

asked yesterday

Kays Tomy Kays Tomy

20217

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Numerical Approximation is $0.2568709921296973$. I'm not sure if a closed form exists.
  $endgroup$
  – Paras Khosla
  yesterday
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  What have you tried? Where did you get this problem? Do you have any reason to expect a closed form?
  $endgroup$
  – clathratus
  yesterday
  
  

  
  
  
  

add a comment | 

$begingroup$

Does the following integral admit a closed-form ?

$$int_0^1ln(x)arctan(x)ln(arctan(x)) mathrmdx $$

integration trigonometry logarithms

share|cite|improve this question

asked yesterday

Kays Tomy Kays Tomy

20217

$endgroup$

share|cite|improve this question

asked yesterday

Kays Tomy Kays Tomy

20217

share|cite|improve this question

asked yesterday

Kays Tomy Kays Tomy

20217

asked yesterday

Kays Tomy Kays Tomy

20217

asked yesterday

Kays Tomy Kays Tomy

20217