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  • Identical expressions

  • sqrt(3x- two)/cos^ two (3x)
  • square root of (3x minus 2) divide by co sinus of e of squared (3x)
  • square root of (3x minus two) divide by co sinus of e of to the power of two (3x)
  • √(3x-2)/cos^2(3x)
  • sqrt(3x-2)/cos2(3x)
  • sqrt3x-2/cos23x
  • sqrt(3x-2)/cos²(3x)
  • sqrt(3x-2)/cos to the power of 2(3x)
  • sqrt3x-2/cos^23x
  • sqrt(3x-2) divide by cos^2(3x)
  • sqrt(3x-2)/cos^2(3x)dx

  • Similar expressions

  • sqrt(3x+2)/cos^2(3x)
Solving integrals/ sqrt(3x-2)/cos^2(3x)

Integral of sqrt(3x-2)/cos^2(3x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |    _________   
 |  \/ 3*x - 2    
 |  ----------- dx
 |      2         
 |   cos (3*x)    
 |                
/                 
0
$$\int\limits_{0}^{1} \frac{\sqrt{3 x - 2}}{\cos^{2}{\left(3 x \right)}}\, dx$$ 
Integral(sqrt(3*x - 2)/cos(3*x)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                       /               
 |                       |                
 |   _________           |   __________   
 | \/ 3*x - 2            | \/ -2 + 3*x    
 | ----------- dx = C +  | ------------ dx
 |     2                 |     2          
 |  cos (3*x)            |  cos (3*x)     
 |                       |                
/                       /
$$\int \frac{\sqrt{3 x - 2}}{\cos^{2}{\left(3 x \right)}}\, dx = C + \int \frac{\sqrt{3 x - 2}}{\cos^{2}{\left(3 x \right)}}\, dx$$
Simplify
The answer [src] 
  1                
  /                
 |                 
 |    __________   
 |  \/ -2 + 3*x    
 |  ------------ dx
 |      2          
 |   cos (3*x)     
 |                 
/                  
0
$$\int\limits_{0}^{1} \frac{\sqrt{3 x - 2}}{\cos^{2}{\left(3 x \right)}}\, dx$$ 
=
= 
  1                
  /                
 |                 
 |    __________   
 |  \/ -2 + 3*x    
 |  ------------ dx
 |      2          
 |   cos (3*x)     
 |                 
/                  
0
$$\int\limits_{0}^{1} \frac{\sqrt{3 x - 2}}{\cos^{2}{\left(3 x \right)}}\, dx$$ 
Integral(sqrt(-2 + 3*x)/cos(3*x)^2, (x, 0, 1))
Numerical answer [src] 
(0.363954124846028 + 1048.8013823139j)
(0.363954124846028 + 1048.8013823139j)

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

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