Mister Exam

Other calculators


arctan(x^0.5)

Integral of arctan(x^0.5) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1               
  /               
 |                
 |      /  ___\   
 |  atan\\/ x / dx
 |                
/                 
0                 
01atan(x)dx\int\limits_{0}^{1} \operatorname{atan}{\left(\sqrt{x} \right)}\, dx
The answer (Indefinite) [src]
  /                                                        
 |                                                         
 |     /  ___\            ___         /  ___\       /  ___\
 | atan\\/ x / dx = C - \/ x  + x*atan\\/ x / + atan\\/ x /
 |                                                         
/                                                          
2(arctanxx2xarctanx2)2\,\left({{\arctan \sqrt{x}\,x}\over{2}}-{{\sqrt{x}-\arctan \sqrt{x }}\over{2}}\right)
The graph
0.001.000.100.200.300.400.500.600.700.800.900.01.0
The answer [src]
     pi
-1 + --
     2 
π22{{\pi-2}\over{2}}
=
=
     pi
-1 + --
     2 
1+π2-1 + \frac{\pi}{2}
Numerical answer [src]
0.570796326794897
0.570796326794897
The graph
Integral of arctan(x^0.5) dx

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