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tg^4(x)
Solving integrals/ tg^4(x)

Integral of tg^4(x) dx

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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)
$$\int \tan^{4}{\left(x \right)}\, dx = C + x + \frac{\sin^{3}{\left(x \right)}}{3 \cos^{3}{\left(x \right)}} - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
                 3    
    sin(1)    sin (1) 
1 - ------ + ---------
    cos(1)        3   
             3*cos (1)
$$- \frac{\sin{\left(1 \right)}}{\cos{\left(1 \right)}} + 1 + \frac{\sin^{3}{\left(1 \right)}}{3 \cos^{3}{\left(1 \right)}}$$ 
=
= 
                 3    
    sin(1)    sin (1) 
1 - ------ + ---------
    cos(1)        3   
             3*cos (1)
$$- \frac{\sin{\left(1 \right)}}{\cos{\left(1 \right)}} + 1 + \frac{\sin^{3}{\left(1 \right)}}{3 \cos^{3}{\left(1 \right)}}$$ 
1 - sin(1)/cos(1) + sin(1)^3/(3*cos(1)^3)
Numerical answer [src] 
0.70176619128935
0.70176619128935
The graph
Integral of tg^4(x) dx

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

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