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tan^6(3x)
Solving integrals/ tan^6(3x)

Integral of tan^6(3x) dx

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The solution

You have entered [src] 
  1             
  /             
 |              
 |     6        
 |  tan (3*x) dx
 |              
/               
0
∫01tan⁡6(3x) dx\int\limits_{0}^{1} \tan^{6}{\left(3 x \right)}\, dx
Simplify
The answer (Indefinite) [src] 
  /                                                              
 |                            3                          5       
 |    6                    sin (3*x)     sin(3*x)     sin (3*x)  
 | tan (3*x) dx = C - x - ----------- + ---------- + ------------
 |                             3        3*cos(3*x)         5     
/                         9*cos (3*x)                15*cos (3*x)
3 tan⁡5(3 x)−5 tan⁡3(3 x)+15 tan⁡(3 x)15−3 x3{{{{3\,\tan ^5\left(3\,x\right)-5\,\tan ^3\left(3\,x\right)+15\, \tan \left(3\,x\right)}\over{15}}-3\,x}\over{3}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-1000000000000000000010000000000000000000
Plot the graph f(x)
The answer [src] 
oo
3 tan⁡53−5 tan⁡33+15 tan⁡315−33{{{{3\,\tan ^53-5\,\tan ^33+15\,\tan 3}\over{15}}-3}\over{3}} 
=
= 
oo
∞\infty
Simplify
Numerical answer [src] 
26101391689637.8
26101391689637.8
The graph
Integral of tan^6(3x) dx

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

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