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Solving integrals/ (tg(x)+ctg(x))^-1

Integral of (tg(x)+ctg(x))^-1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 pi                   
 --                   
 4                    
  /                   
 |                    
 |         1          
 |  --------------- dx
 |  tan(x) + cot(x)   
 |                    
/                     
pi                    
--                    
6
$$\int\limits_{\frac{\pi}{6}}^{\frac{\pi}{4}} \frac{1}{\tan{\left(x \right)} + \cot{\left(x \right)}}\, dx$$ 
Integral(1/(tan(x) + cot(x)), (x, pi/6, pi/4))
The answer (Indefinite) [src] 
  /                                      
 |                                       
 |        1                       1      
 | --------------- dx = C - -------------
 | tan(x) + cot(x)                   2   
 |                          2 + 2*tan (x)
/
$$\int \frac{1}{\tan{\left(x \right)} + \cot{\left(x \right)}}\, dx = C - \frac{1}{2 \tan^{2}{\left(x \right)} + 2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1/8
$$\frac{1}{8}$$ 
=
= 
1/8
$$\frac{1}{8}$$ 
1/8
Numerical answer [src] 
0.125
0.125

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

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