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tanx/cos^2x
Solving integrals/ tanx/cos^2x

Integral of tanx/cos^2x dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |   tan(x)   
 |  ------- dx
 |     2      
 |  cos (x)   
 |            
/             
0
∫01tan⁡(x)cos⁡2(x) dx\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)
 |                           
/
∫tan⁡(x)cos⁡2(x) dx=C+12cos⁡2(x)\int \frac{\tan{\left(x \right)}}{\cos^{2}{\left(x \right)}}\, dx = C + \frac{1}{2 \cos^{2}{\left(x \right)}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90010
Plot the graph f(x)
The answer [src] 
  1       1    
- - + ---------
  2        2   
      2*cos (1)
−12+12cos⁡2(1)- \frac{1}{2} + \frac{1}{2 \cos^{2}{\left(1 \right)}} 
=
= 
  1       1    
- - + ---------
  2        2   
      2*cos (1)
−12+12cos⁡2(1)- \frac{1}{2} + \frac{1}{2 \cos^{2}{\left(1 \right)}} 
-1/2 + 1/(2*cos(1)^2)
Numerical answer [src] 
1.21275941040738
1.21275941040738
The graph
Integral of tanx/cos^2x dx

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

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