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  • Identical expressions

  • (tg(three x)^3)/cos(3x)^ two
  • (tg(3x) cubed ) divide by co sinus of e of (3x) squared
  • (tg(three x) cubed ) divide by co sinus of e of (3x) to the power of two
  • (tg(3x)3)/cos(3x)2
  • tg3x3/cos3x2
  • (tg(3x)³)/cos(3x)²
  • (tg(3x) to the power of 3)/cos(3x) to the power of 2
  • tg3x^3/cos3x^2
  • (tg(3x)^3) divide by cos(3x)^2
  • (tg(3x)^3)/cos(3x)^2dx
Solving integrals/ (tg(3x)^3)/cos(3x)^2

Integral of (tg(3x)^3)/cos(3x)^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 pi             
  /             
 |              
 |     3        
 |  tan (3*x)   
 |  --------- dx
 |     2        
 |  cos (3*x)   
 |              
/               
-pi
∫−ππtan⁡3(3x)cos⁡2(3x) dx\int\limits_{- \pi}^{\pi} \frac{\tan^{3}{\left(3 x \right)}}{\cos^{2}{\left(3 x \right)}}\, dx 
Integral(tan(3*x)^3/cos(3*x)^2, (x, -pi, pi))
The answer (Indefinite) [src] 
  /                                   
 |                                    
 |    3                         2     
 | tan (3*x)          -1 + 2*cos (3*x)
 | --------- dx = C - ----------------
 |    2                       4       
 | cos (3*x)            12*cos (3*x)  
 |                                    
/
∫tan⁡3(3x)cos⁡2(3x) dx=C−2cos⁡2(3x)−112cos⁡4(3x)\int \frac{\tan^{3}{\left(3 x \right)}}{\cos^{2}{\left(3 x \right)}}\, dx = C - \frac{2 \cos^{2}{\left(3 x \right)} - 1}{12 \cos^{4}{\left(3 x \right)}}
Simplify
The graph
-3.0-2.5-2.0-1.5-1.0-0.50.00.51.01.52.02.53.0-100000000000000000100000000000000000
Plot the graph f(x)
The answer [src] 
nan
NaN\text{NaN} 
=
= 
nan
NaN\text{NaN} 
nan
Numerical answer [src] 
0.0
0.0

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

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