Mister Exam

Other calculators

Solving integrals/ arcctg(sqrt(4x-1))

Integral of arcctg(sqrt(4x-1)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                     
  /                     
 |                      
 |      /  _________\   
 |  acot\\/ 4*x - 1 / dx
 |                      
/                       
0
$$\int\limits_{0}^{1} \operatorname{acot}{\left(\sqrt{4 x - 1} \right)}\, dx$$ 
Integral(acot(sqrt(4*x - 1)), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                              
 |                              __________                       
 |     /  _________\          \/ -1 + 4*x          /  __________\
 | acot\\/ 4*x - 1 / dx = C + ------------ + x*acot\\/ -1 + 4*x /
 |                                 4                             
/
$$\int \operatorname{acot}{\left(\sqrt{4 x - 1} \right)}\, dx = C + x \operatorname{acot}{\left(\sqrt{4 x - 1} \right)} + \frac{\sqrt{4 x - 1}}{4}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  1                      
  /                      
 |                       
 |      /  __________\   
 |  acot\\/ -1 + 4*x / dx
 |                       
/                        
0
$$\int\limits_{0}^{1} \operatorname{acot}{\left(\sqrt{4 x - 1} \right)}\, dx$$ 
=
= 
  1                      
  /                      
 |                       
 |      /  __________\   
 |  acot\\/ -1 + 4*x / dx
 |                       
/                        
0
$$\int\limits_{0}^{1} \operatorname{acot}{\left(\sqrt{4 x - 1} \right)}\, dx$$ 
Integral(acot(sqrt(-1 + 4*x)), (x, 0, 1))
Numerical answer [src] 
(0.157781742873335 - 0.249964776813378j)
(0.157781742873335 - 0.249964776813378j)

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

    © Mister Exam – Calculator