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tan(x)/cos(x)^3

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Solving integrals/ tan(x)/cos(x)^3

Integral of tan(x)/cos(x)^3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |   tan(x)   
 |  ------- dx
 |     3      
 |  cos (x)   
 |            
/             
0
$$\int\limits_{0}^{1} \frac{\tan{\left(x \right)}}{\cos^{3}{\left(x \right)}}\, dx$$ 
Integral(tan(x)/cos(x)^3, (x, 0, 1))
The answer (Indefinite) [src] 
  /                          
 |                           
 |  tan(x)              1    
 | ------- dx = C + ---------
 |    3                  3   
 | cos (x)          3*cos (x)
 |                           
/
$$\int \frac{\tan{\left(x \right)}}{\cos^{3}{\left(x \right)}}\, dx = C + \frac{1}{3 \cos^{3}{\left(x \right)}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  1       1    
- - + ---------
  3        3   
      3*cos (1)
$$- \frac{1}{3} + \frac{1}{3 \cos^{3}{\left(1 \right)}}$$ 
=
= 
  1       1    
- - + ---------
  3        3   
      3*cos (1)
$$- \frac{1}{3} + \frac{1}{3 \cos^{3}{\left(1 \right)}}$$ 
-1/3 + 1/(3*cos(1)^3)
Numerical answer [src] 
1.7800013582586
1.7800013582586
The graph
Integral of tan(x)/cos(x)^3 dx

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

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