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  • Identical expressions

  • five \(ctg3x)*dx\sin^ two *3x
  • 5\(ctg3x) multiply by dx\ sinus of squared multiply by 3x
  • five \(ctg3x) multiply by dx\ sinus of to the power of two multiply by 3x
  • 5\(ctg3x)*dx\sin2*3x
  • 5\ctg3x*dx\sin2*3x
  • 5\(ctg3x)*dx\sin²*3x
  • 5\(ctg3x)*dx\sin to the power of 2*3x
  • 5\(ctg3x)dx\sin^23x
  • 5\(ctg3x)dx\sin23x
  • 5\ctg3xdx\sin23x
  • 5\ctg3xdx\sin^23x
Solving integrals/ 5\(ctg3x)*dx\sin^2*3x

Integral of 5\(ctg3x)*dx\sin^2*3x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                
  /                
 |                 
 |  /   5    \     
 |  |--------|     
 |  \cot(3*x)/     
 |  ----------*x dx
 |      2          
 |   sin (3)       
 |                 
/                  
0
$$\int\limits_{0}^{1} x \frac{5 \frac{1}{\cot{\left(3 x \right)}}}{\sin^{2}{\left(3 \right)}}\, dx$$ 
Integral(((5/cot(3*x))/sin(3)^2)*x, (x, 0, 1))
The answer [src] 
    1            
    /            
   |             
   |     x       
5* |  -------- dx
   |  cot(3*x)   
   |             
  /              
  0              
-----------------
        2        
     sin (3)
$$\frac{5 \int\limits_{0}^{1} \frac{x}{\cot{\left(3 x \right)}}\, dx}{\sin^{2}{\left(3 \right)}}$$ 
=
= 
    1            
    /            
   |             
   |     x       
5* |  -------- dx
   |  cot(3*x)   
   |             
  /              
  0              
-----------------
        2        
     sin (3)
$$\frac{5 \int\limits_{0}^{1} \frac{x}{\cot{\left(3 x \right)}}\, dx}{\sin^{2}{\left(3 \right)}}$$ 
5*Integral(x/cot(3*x), (x, 0, 1))/sin(3)^2
Numerical answer [src] 
-626.563588020536
-626.563588020536

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

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