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tan^2(x)/cos^2(x)

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  • Integral of d{x}:
  • Integral of x^-2 Integral of x^-2
  • Integral of cot(x)
  • Integral of (x+1)^2 Integral of (x+1)^2
  • Integral of ln^2(x) Integral of ln^2(x)

  • Identical expressions

  • tan^ two (x)/cos^ two (x)
  • tangent of squared (x) divide by co sinus of e of squared (x)
  • tangent of to the power of two (x) divide by co sinus of e of to the power of two (x)
  • tan2(x)/cos2(x)
  • tan2x/cos2x
  • tan²(x)/cos²(x)
  • tan to the power of 2(x)/cos to the power of 2(x)
  • tan^2x/cos^2x
  • tan^2(x) divide by cos^2(x)
  • tan^2(x)/cos^2(x)dx
Solving integrals/ tan^2(x)/cos^2(x)

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

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

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