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(tgx+ctgx)^-1

Integral of (tgx+ctgx)^-1 dx

Limits of integration:

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The graph:

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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)
/                                        
$$-{{1}\over{2\,\tan ^2x+2}}$$
The graph
The answer [src]
1/8
$${\it \%a}$$
=
=
1/8
$$\frac{1}{8}$$
Numerical answer [src]
0.125
0.125
The graph
Integral of (tgx+ctgx)^-1 dx

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