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Solving integrals/ (sec(x))(cosec^2x)

Integral of (sec(x))(cosec^2x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                  
  /                  
 |                   
 |            2      
 |  sec(x)*csc (x) dx
 |                   
/                    
0
$$\int\limits_{0}^{1} \csc^{2}{\left(x \right)} \sec{\left(x \right)}\, dx$$ 
Integral(sec(x)*csc(x)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                                   
 |                                                                    
 |           2             log(1 + sin(x))     1      log(-1 + sin(x))
 | sec(x)*csc (x) dx = C + --------------- - ------ - ----------------
 |                                2          sin(x)          2        
/
$$\int \csc^{2}{\left(x \right)} \sec{\left(x \right)}\, dx = C - \frac{\log{\left(\sin{\left(x \right)} - 1 \right)}}{2} + \frac{\log{\left(\sin{\left(x \right)} + 1 \right)}}{2} - \frac{1}{\sin{\left(x \right)}}$$
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] 
1.3793236779486e+19
1.3793236779486e+19

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

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