Интеграл x*(log(2)/log(x)) (dx)

Вы ввели

[TeX]

[pretty]

[text]

  1            
  /            
 |             
 |    log(2)   
 |  x*------ dx
 |    log(x)   
 |             
/              
0              

$$\int_{0}^{1} x \frac{\log{\left (2 \right )}}{\log{\left (x \right )}}\, dx$$

Ответ

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[pretty]

[text]

  1               /  1          \       
  /               |  /          |       
 |                | |           |       
 |    log(2)      | |    x      |       
 |  x*------ dx = | |  ------ dx|*log(2)
 |    log(x)      | |  log(x)   |       
 |                | |           |       
/                 |/            |       
0                 \0            /       

$${\it \%a}$$

Численный ответ

[pretty]

[text]

-29.6809739599387

Ответ (Неопределённый)

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  /                  /  /         \       
 |                   | |          |       
 |   log(2)          | |   x      |       
 | x*------ dx = C + | | ------ dx|*log(2)
 |   log(x)          | | log(x)   |       
 |                   | |          |       
/                    \/           /       

$$-\Gamma\left(0 , -2\,\log x\right)\,\log 2$$

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