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cos(y)^(-2)
Solving integrals/ cos(y)^(-2)

Integral of cos(y)^(-2) dy

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |     1      
 |  ------- dy
 |     2      
 |  cos (y)   
 |            
/             
0
∫011cos⁡2(y) dy\int\limits_{0}^{1} \frac{1}{\cos^{2}{\left(y \right)}}\, dy 
Integral(cos(y)^(-2), (y, 0, 1))
The answer (Indefinite) [src] 
  /                       
 |                        
 |    1             sin(y)
 | ------- dy = C + ------
 |    2             cos(y)
 | cos (y)                
 |                        
/
∫1cos⁡2(y) dy=C+sin⁡(y)cos⁡(y)\int \frac{1}{\cos^{2}{\left(y \right)}}\, dy = C + \frac{\sin{\left(y \right)}}{\cos{\left(y \right)}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9005
Plot the graph f(x)
The answer [src] 
sin(1)
------
cos(1)
sin⁡(1)cos⁡(1)\frac{\sin{\left(1 \right)}}{\cos{\left(1 \right)}} 
=
= 
sin(1)
------
cos(1)
sin⁡(1)cos⁡(1)\frac{\sin{\left(1 \right)}}{\cos{\left(1 \right)}} 
sin(1)/cos(1)
Numerical answer [src] 
1.5574077246549
1.5574077246549
The graph
Integral of cos(y)^(-2) dy

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

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