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arcctg(5x)
Solving integrals/ arcctg(5x)

Integral of arcctg(5x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1             
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 |              
 |  acot(5*x) dx
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0
$$\int\limits_{0}^{1} \operatorname{acot}{\left(5 x \right)}\, dx$$ 
Integral(acot(5*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                      /        2\              
 |                    log\1 + 25*x /              
 | acot(5*x) dx = C + -------------- + x*acot(5*x)
 |                          10                    
/
$$\int \operatorname{acot}{\left(5 x \right)}\, dx = C + x \operatorname{acot}{\left(5 x \right)} + \frac{\log{\left(25 x^{2} + 1 \right)}}{10}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
log(26)          
------- + acot(5)
   10
$$\operatorname{acot}{\left(5 \right)} + \frac{\log{\left(26 \right)}}{10}$$ 
=
= 
log(26)          
------- + acot(5)
   10
$$\operatorname{acot}{\left(5 \right)} + \frac{\log{\left(26 \right)}}{10}$$ 
log(26)/10 + acot(5)
Numerical answer [src] 
0.523205213652029
0.523205213652029
The graph
Integral of arcctg(5x) dx

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

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