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tan^2x/cos^2x

Integral of tan^2x/cos^2x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1           
  /           
 |            
 |     2      
 |  tan (x)   
 |  ------- dx
 |     2      
 |  cos (x)   
 |            
/             
0             
$$\int\limits_{0}^{1} \frac{\tan^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}}\, dx$$
The answer (Indefinite) [src]
  /                                     
 |                                      
 |    2                                 
 | tan (x)           sin(x)      sin(x) 
 | ------- dx = C - -------- + ---------
 |    2             3*cos(x)        3   
 | cos (x)                     3*cos (x)
 |                                      
/                                       
$${{\tan ^3x}\over{3}}$$
The graph
The answer [src]
   sin(1)      sin(1) 
- -------- + ---------
  3*cos(1)        3   
             3*cos (1)
$${{\tan ^31}\over{3}}$$
=
=
   sin(1)      sin(1) 
- -------- + ---------
  3*cos(1)        3   
             3*cos (1)
$$- \frac{\sin{\left(1 \right)}}{3 \cos{\left(1 \right)}} + \frac{\sin{\left(1 \right)}}{3 \cos^{3}{\left(1 \right)}}$$
Numerical answer [src]
1.25917391594425
1.25917391594425
The graph
Integral of tan^2x/cos^2x dx

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