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tan^2x/sec^5x
Solving integrals/ tan^2x/sec^5x

Integral of tan^2x/sec^5x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |     2      
 |  tan (x)   
 |  ------- dx
 |     5      
 |  sec (x)   
 |            
/             
0
$$\int\limits_{0}^{1} \frac{\tan^{2}{\left(x \right)}}{\sec^{5}{\left(x \right)}}\, dx$$ 
Integral(tan(x)^2/(sec(x)^5), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                  
 |                                   
 |    2                5         3   
 | tan (x)          sin (x)   sin (x)
 | ------- dx = C - ------- + -------
 |    5                5         3   
 | sec (x)                           
 |                                   
/
$$-{{3\,\sin ^5x-5\,\sin ^3x}\over{15}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
     5         3   
  sin (1)   sin (1)
- ------- + -------
     5         3
$$-{{3\,\sin ^51-5\,\sin ^31}\over{15}}$$ 
=
= 
     5         3   
  sin (1)   sin (1)
- ------- + -------
     5         3
$$- \frac{\sin^{5}{\left(1 \right)}}{5} + \frac{\sin^{3}{\left(1 \right)}}{3}$$
Simplify
Numerical answer [src] 
4.96903867736186
4.96903867736186
The graph
Integral of tan^2x/sec^5x dx

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

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