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  • Identical expressions

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  • 1 divide by ((( sinus of 3x) squared ) multiply by ((1 divide by tg3x)))
  • one divide by ((( sinus of 3x) to the power of two) multiply by ((one divide by tg3x)))
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  • 1/sin3x21/tg3x
  • 1/sin3x^21/tg3x
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  • 1/(((sin3x)^2)*((1/tg3x)))dx
Solving integrals/ 1/(((sin3x)^2)*((1/tg3x)))

Integral of 1/(((sin3x)^2)*((1/tg3x))) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |       1        
 |  ----------- dx
 |  /   2     \   
 |  |sin (3*x)|   
 |  |---------|   
 |  \ tan(3*x)/   
 |                
/                 
0
$$\int\limits_{0}^{1} \frac{1}{\sin^{2}{\left(3 x \right)} \frac{1}{\tan{\left(3 x \right)}}}\, dx$$ 
Integral(1/(sin(3*x)^2/tan(3*x)), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                        
 |                         /        2     \                
 |      1               log\-1 + sin (3*x)/   log(sin(3*x))
 | ----------- dx = C - ------------------- + -------------
 | /   2     \                   6                  3      
 | |sin (3*x)|                                             
 | |---------|                                             
 | \ tan(3*x)/                                             
 |                                                         
/
$$\int \frac{1}{\sin^{2}{\left(3 x \right)} \frac{1}{\tan{\left(3 x \right)}}}\, dx = C - \frac{\log{\left(\sin^{2}{\left(3 x \right)} - 1 \right)}}{6} + \frac{\log{\left(\sin{\left(3 x \right)} \right)}}{3}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
nan
$$\text{NaN}$$ 
=
= 
nan
$$\text{NaN}$$ 
nan
Numerical answer [src] 
9.37062759303838
9.37062759303838

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

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