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tan^4*x

Integral of tan^4*x dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
  1           
  /           
 |            
 |     4      
 |  tan (x) dx
 |            
/             
0             
$$\int\limits_{0}^{1} \tan^{4}{\left(x \right)}\, dx$$
Integral(tan(x)^4, (x, 0, 1))
The answer (Indefinite) [src]
  /                                       
 |                                   3    
 |    4                 sin(x)    sin (x) 
 | tan (x) dx = C + x - ------ + ---------
 |                      cos(x)        3   
/                                3*cos (x)
$${{\tan ^3x-3\,\tan x}\over{3}}+x$$
The graph
The answer [src]
                 3    
    sin(1)    sin (1) 
1 - ------ + ---------
    cos(1)        3   
             3*cos (1)
$${{\tan ^31-3\,\tan 1}\over{3}}+1$$
=
=
                 3    
    sin(1)    sin (1) 
1 - ------ + ---------
    cos(1)        3   
             3*cos (1)
$$- \frac{\sin{\left(1 \right)}}{\cos{\left(1 \right)}} + 1 + \frac{\sin^{3}{\left(1 \right)}}{3 \cos^{3}{\left(1 \right)}}$$
Numerical answer [src]
0.70176619128935
0.70176619128935
The graph
Integral of tan^4*x dx

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