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Solving integrals/ cosx/sinx^3

Integral of cosx/sinx^3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 pi           
 --           
 3            
  /           
 |            
 |   cos(x)   
 |  ------- dx
 |     3      
 |  sin (x)   
 |            
/             
pi            
--            
6
$$\int\limits_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{\cos{\left(x \right)}}{\sin^{3}{\left(x \right)}}\, dx$$ 
Integral(cos(x)/sin(x)^3, (x, pi/6, pi/3))
The answer (Indefinite) [src] 
  /                          
 |                           
 |  cos(x)              1    
 | ------- dx = C - ---------
 |    3                  2   
 | sin (x)          2*sin (x)
 |                           
/
$$\int \frac{\cos{\left(x \right)}}{\sin^{3}{\left(x \right)}}\, dx = C - \frac{1}{2 \sin^{2}{\left(x \right)}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
4/3
$$\frac{4}{3}$$ 
=
= 
4/3
$$\frac{4}{3}$$ 
4/3
Numerical answer [src] 
1.33333333333333
1.33333333333333

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

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