Mister Exam

Other calculators

Solving integrals/ arctg(sqrt(5x-1))

Integral of arctg(sqrt(5x-1)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  0                     
  /                     
 |                      
 |      /  _________\   
 |  atan\\/ 5*x - 1 / dx
 |                      
/                       
0
$$\int\limits_{0}^{0} \operatorname{atan}{\left(\sqrt{5 x - 1} \right)}\, dx$$ 
Integral(atan(sqrt(5*x - 1*1)), (x, 0, 0))
The answer (Indefinite) [src] 
  /                                                                                        
 |                              _________       /  _________\                 /  _________\
 |     /  _________\          \/ 5*x - 1    atan\\/ 5*x - 1 /   (5*x - 1)*atan\\/ 5*x - 1 /
 | atan\\/ 5*x - 1 / dx = C - ----------- + ----------------- + ---------------------------
 |                                 5                5                        5             
/
$${{2\,\left({{\left(5\,x-1\right)\,\arctan \sqrt{5\,x-1}}\over{2}}- {{\sqrt{5\,x-1}-\arctan \sqrt{5\,x-1}}\over{2}}\right)}\over{5}}$$
Simplify
The answer [src] 
0
$$0$$ 
=
= 
0
$$0$$
Упростить
Numerical answer [src] 
0.0
0.0

    Use the examples entering the upper and lower limits of integration.

    © Mister Exam – Calculator