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Solving integrals/ 2sinx/cos^3x

Integral of 2sinx/cos^3x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |  2*sin(x)   
 |  -------- dx
 |     3       
 |  cos (x)    
 |             
/              
0
$$\int\limits_{0}^{1} \frac{2 \sin{\left(x \right)}}{\cos^{3}{\left(x \right)}}\, dx$$ 
Integral((2*sin(x))/cos(x)^3, (x, 0, 1))
The answer (Indefinite) [src] 
  /                         
 |                          
 | 2*sin(x)             1   
 | -------- dx = C + -------
 |    3                 2   
 | cos (x)           cos (x)
 |                          
/
$$\int \frac{2 \sin{\left(x \right)}}{\cos^{3}{\left(x \right)}}\, dx = C + \frac{1}{\cos^{2}{\left(x \right)}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
        1   
-1 + -------
        2   
     cos (1)
$$-1 + \frac{1}{\cos^{2}{\left(1 \right)}}$$ 
=
= 
        1   
-1 + -------
        2   
     cos (1)
$$-1 + \frac{1}{\cos^{2}{\left(1 \right)}}$$ 
-1 + cos(1)^(-2)
Numerical answer [src] 
2.42551882081476
2.42551882081476

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

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