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tan^2x/cos^2x
Solving integrals/ tan^2x/cos^2x

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

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |     2      
 |  tan (x)   
 |  ------- dx
 |     2      
 |  cos (x)   
 |            
/             
0
∫01tan⁡2(x)cos⁡2(x) dx\int\limits_{0}^{1} \frac{\tan^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}}\, dx
Simplify
The answer (Indefinite) [src] 
  /                                     
 |                                      
 |    2                                 
 | tan (x)           sin(x)      sin(x) 
 | ------- dx = C - -------- + ---------
 |    2             3*cos(x)        3   
 | cos (x)                     3*cos (x)
 |                                      
/
tan⁡3x3{{\tan ^3x}\over{3}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90010
Plot the graph f(x)
The answer [src] 
   sin(1)      sin(1) 
- -------- + ---------
  3*cos(1)        3   
             3*cos (1)
tan⁡313{{\tan ^31}\over{3}} 
=
= 
   sin(1)      sin(1) 
- -------- + ---------
  3*cos(1)        3   
             3*cos (1)
−sin⁡(1)3cos⁡(1)+sin⁡(1)3cos⁡3(1)- \frac{\sin{\left(1 \right)}}{3 \cos{\left(1 \right)}} + \frac{\sin{\left(1 \right)}}{3 \cos^{3}{\left(1 \right)}}
Simplify
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.

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