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Solving integrals/ cosx/sinx^7

Integral of cosx/sinx^7 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |   cos(x)   
 |  ------- dx
 |     7      
 |  sin (x)   
 |            
/             
0
$$\int\limits_{0}^{1} \frac{\cos{\left(x \right)}}{\sin^{7}{\left(x \right)}}\, dx$$ 
Integral(cos(x)/sin(x)^7, (x, 0, 1))
The answer (Indefinite) [src] 
  /                          
 |                           
 |  cos(x)              1    
 | ------- dx = C - ---------
 |    7                  6   
 | sin (x)          6*sin (x)
 |                           
/
$$\int \frac{\cos{\left(x \right)}}{\sin^{7}{\left(x \right)}}\, dx = C - \frac{1}{6 \sin^{6}{\left(x \right)}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
oo
$$\infty$$ 
=
= 
oo
$$\infty$$ 
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Numerical answer [src] 
6.88049276860284e+113
6.88049276860284e+113

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

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