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arcctg(x)
Solving integrals/ arcctg(x)

Integral of arcctg(x) dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src] 
  1           
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 |  acot(x) dx
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0
∫01acot⁡(x) dx\int\limits_{0}^{1} \operatorname{acot}{\left(x \right)}\, dx 
Integral(acot(x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                    /     2\            
 |                  log\1 + x /            
 | acot(x) dx = C + ----------- + x*acot(x)
 |                       2                 
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∫acot⁡(x) dx=C+xacot⁡(x)+log⁡(x2+1)2\int \operatorname{acot}{\left(x \right)}\, dx = C + x \operatorname{acot}{\left(x \right)} + \frac{\log{\left(x^{2} + 1 \right)}}{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
log(2)   pi
------ + --
  2      4
log⁡(2)2+π4\frac{\log{\left(2 \right)}}{2} + \frac{\pi}{4} 
=
= 
log(2)   pi
------ + --
  2      4
log⁡(2)2+π4\frac{\log{\left(2 \right)}}{2} + \frac{\pi}{4} 
log(2)/2 + pi/4
Numerical answer [src] 
1.13197175367742
1.13197175367742
The graph
Integral of arcctg(x) dx

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

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