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

Limits of integration:

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The graph:

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Piecewise:

The solution

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

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