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Solving integrals/ arctg1/x

Integral of arctg1/x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   1            
   /            
  |             
  |   atan(1)   
  |   ------- dx
  |      x      
  |             
 /              
  ___           
\/ 3
$$\int\limits_{\sqrt{3}}^{1} \frac{\operatorname{atan}{\left(1 \right)}}{x}\, dx$$ 
Integral(atan(1)/x, (x, sqrt(3), 1))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    1. The integral of is .

    So, the result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                               
 |                                
 | atan(1)                        
 | ------- dx = C + atan(1)*log(x)
 |    x                           
 |                                
/
$$\int \frac{\operatorname{atan}{\left(1 \right)}}{x}\, dx = C + \log{\left(x \right)} \operatorname{atan}{\left(1 \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
       /  ___\ 
-pi*log\\/ 3 / 
---------------
       4
$$- \frac{\pi \log{\left(\sqrt{3} \right)}}{4}$$ 
=
= 
       /  ___\ 
-pi*log\\/ 3 / 
---------------
       4
$$- \frac{\pi \log{\left(\sqrt{3} \right)}}{4}$$ 
-pi*log(sqrt(3))/4
Numerical answer [src] 
-0.4314240369029
-0.4314240369029

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

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