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1/sin(x)*cos^2(x)

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  • Similar expressions

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Solving integrals/ 1/sin(x)*cos^2(x)

Integral of 1/sin(x)*cos^2(x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |     2      
 |  cos (x)   
 |  ------- dx
 |   sin(x)   
 |            
/             
0
$$\int\limits_{0}^{1} \frac{\cos^{2}{\left(x \right)}}{\sin{\left(x \right)}}\, dx$$ 
Integral(cos(x)^2/sin(x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                            
 |                                                             
 |    2                                                        
 | cos (x)          log(-1 + cos(x))   log(1 + cos(x))         
 | ------- dx = C + ---------------- - --------------- + cos(x)
 |  sin(x)                 2                  2                
 |                                                             
/
$$\int \frac{\cos^{2}{\left(x \right)}}{\sin{\left(x \right)}}\, dx = C + \frac{\log{\left(\cos{\left(x \right)} - 1 \right)}}{2} - \frac{\log{\left(\cos{\left(x \right)} + 1 \right)}}{2} + \cos{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
     pi*I
oo + ----
      2
$$\infty + \frac{i \pi}{2}$$ 
=
= 
     pi*I
oo + ----
      2
$$\infty + \frac{i \pi}{2}$$ 
oo + pi*i/2
Numerical answer [src] 
43.7193131744794
43.7193131744794
The graph
Integral of 1/sin(x)*cos^2(x) dx

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

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