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tanx/(cosx)^2

Integral of tanx/(cosx)^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1           
  /           
 |            
 |   tan(x)   
 |  ------- dx
 |     2      
 |  cos (x)   
 |            
/             
0             
$$\int\limits_{0}^{1} \frac{\tan{\left(x \right)}}{\cos^{2}{\left(x \right)}}\, dx$$
Integral(tan(x)/(cos(x)^2), (x, 0, 1))
The answer (Indefinite) [src]
  /                          
 |                           
 |  tan(x)              1    
 | ------- dx = C + ---------
 |    2                  2   
 | cos (x)          2*cos (x)
 |                           
/                            
$${{1}\over{2\,\left(1-\sin ^2x\right)}}$$
The graph
The answer [src]
  1       1    
- - + ---------
  2        2   
      2*cos (1)
$$-{{1}\over{2\,\sin ^21-2}}-{{1}\over{2}}$$
=
=
  1       1    
- - + ---------
  2        2   
      2*cos (1)
$$- \frac{1}{2} + \frac{1}{2 \cos^{2}{\left(1 \right)}}$$
Numerical answer [src]
1.21275941040738
1.21275941040738
The graph
Integral of tanx/(cosx)^2 dx

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