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  • Integral of d{x}:
  • Integral of 1/(1+4x^2) Integral of 1/(1+4x^2)
  • Integral of (sec(x))^3 Integral of (sec(x))^3
  • Integral of x^2*e^(x^3) Integral of x^2*e^(x^3)
  • Integral of e^x² Integral of e^x²
  • 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

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             
$$\int\limits_{- \pi}^{\pi} \frac{\tan^{3}{\left(3 x \right)}}{\cos^{2}{\left(3 x \right)}}\, dx$$
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)  
 |                                    
/                                     
$$\int \frac{\tan^{3}{\left(3 x \right)}}{\cos^{2}{\left(3 x \right)}}\, dx = C - \frac{2 \cos^{2}{\left(3 x \right)} - 1}{12 \cos^{4}{\left(3 x \right)}}$$
The graph
The answer [src]
nan
$$\text{NaN}$$
=
=
nan
$$\text{NaN}$$
nan
Numerical answer [src]
0.0
0.0

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