Интеграл tan(x)^(1/2) (dx)

Вы ввели

  1              
  /              
 |               
 |    ________   
 |  \/ tan(x)  dx
 |               
/                
0                

$$\int_{0}^{1} \sqrt{\tan{\left (x \right )}}\, dx$$

Ответ

  1                   1              
  /                   /              
 |                   |               
 |    ________       |    ________   
 |  \/ tan(x)  dx =  |  \/ tan(x)  dx
 |                   |               
/                   /                
0                   0                

$$\int_{0}^{1} \sqrt{\tan{\left (x \right )}}\, dx = \int_{0}^{1} \sqrt{\tan{\left (x \right )}}\, dx$$

Численный ответ

0.727298249343511

Ответ (Неопределённый)

$$2\,\left(-{{\log \left(\tan x+\sqrt{2}\,\sqrt{\tan x}+1\right) }\over{2^{{{5}\over{2}}}}}+{{\log \left(\tan x-\sqrt{2}\,\sqrt{\tan x}+1\right)}\over{2^{{{5}\over{2}}}}}+{{\arctan \left({{2\,\sqrt{ \tan x}+\sqrt{2}}\over{\sqrt{2}}}\right)}\over{2^{{{3}\over{2}}}}}+ {{\arctan \left({{2\,\sqrt{\tan x}-\sqrt{2}}\over{\sqrt{2}}}\right) }\over{2^{{{3}\over{2}}}}}\right)$$