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  • Identical expressions

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  • 1/(cos^3(x)sin(x))dx

  • Similar expressions

  • 1/(cos^3(x)sinx)
Solving integrals/ 1/(cos^3(x)sin(x))

Integral of 1/(cos^3(x)sin(x)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                    
  /                    
 |                     
 |          1          
 |  1*-------------- dx
 |       3             
 |    cos (x)*sin(x)   
 |                     
/                      
0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{\sin{\left(x \right)} \cos^{3}{\left(x \right)}}\, dx$$ 
Integral(1/(cos(x)^3*sin(x)), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                                     
 |                                          /        2   \              
 |         1                     1       log\-1 + cos (x)/              
 | 1*-------------- dx = C + --------- + ----------------- - log(cos(x))
 |      3                         2              2                      
 |   cos (x)*sin(x)          2*cos (x)                                  
 |                                                                      
/
$$-{{\log \left(\sin ^2x-1\right)}\over{2}}+\log \sin x-{{1}\over{2\, \sin ^2x-2}}$$
Simplify
The answer [src] 
     pi*I
oo + ----
      2
$${\it \%a}$$ 
=
= 
     pi*I
oo + ----
      2
$$\infty + \frac{i \pi}{2}$$
Simplify
Numerical answer [src] 
45.7462282685172
45.7462282685172

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

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