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ctgx/sin^2x

Integral of ctgx/sin^2x dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
 pi           
 --           
 2            
  /           
 |            
 |   cot(x)   
 |  ------- dx
 |     2      
 |  sin (x)   
 |            
/             
pi            
--            
4             
$$\int\limits_{\frac{\pi}{4}}^{\frac{\pi}{2}} \frac{\cot{\left(x \right)}}{\sin^{2}{\left(x \right)}}\, dx$$
Integral(cot(x)/(sin(x)^2), (x, pi/4, pi/2))
The answer (Indefinite) [src]
  /                          
 |                           
 |  cot(x)              1    
 | ------- dx = C - ---------
 |    2                  2   
 | sin (x)          2*sin (x)
 |                           
/                            
$$\int \frac{\cot{\left(x \right)}}{\sin^{2}{\left(x \right)}}\, dx = C - \frac{1}{2 \sin^{2}{\left(x \right)}}$$
The graph
The answer [src]
1/2
$$\frac{1}{2}$$
=
=
1/2
$$\frac{1}{2}$$
Numerical answer [src]
0.5
0.5
The graph
Integral of ctgx/sin^2x dx

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