Integral de arctg*sqrt(4x-1) dx

                                                          /                                      /                             3\\                        
  /                                                       |       4          2                   |  __________   644*t   1024*t ||                        
 |                                  __________   4*RootSum|65536*t  + 24064*t  + 4913, t -> t*log|\/ -1 + 4*x  - ----- + -------||             3/2        
 |           _________          4*\/ -1 + 4*x             \                                      \                221      221  //   (-1 + 4*x)   *atan(x)
 | atan(x)*\/ 4*x - 1  dx = C - -------------- - --------------------------------------------------------------------------------- + ---------------------
 |                                    3                                                  3                                                     6          
/                                                                                                                                                         

$$\int \sqrt{4 x - 1} \operatorname{atan}{\left(x \right)}\, dx = C + \frac{\left(4 x - 1\right)^{\frac{3}{2}} \operatorname{atan}{\left(x \right)}}{6} - \frac{4 \sqrt{4 x - 1}}{3} - \frac{4 \operatorname{RootSum} {\left(65536 t^{4} + 24064 t^{2} + 4913, \left( t \mapsto t \log{\left(\frac{1024 t^{3}}{221} - \frac{644 t}{221} + \sqrt{4 x - 1} \right)} \right)\right)}}{3}$$

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