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Solving integrals/ 1/(sin(x)*cos(3x))

Integral of 1/(sin(x)*cos(3x)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                   
  /                   
 |                    
 |         1          
 |  --------------- dx
 |  sin(x)*cos(3*x)   
 |                    
/                     
0
∫011sin⁡(x)cos⁡(3x) dx\int\limits_{0}^{1} \frac{1}{\sin{\left(x \right)} \cos{\left(3 x \right)}}\, dx 
Integral(1/(sin(x)*cos(3*x)), (x, 0, 1))
The answer (Indefinite) [src] 
  /                           /                  
 |                           |                   
 |        1                  |        1          
 | --------------- dx = C +  | --------------- dx
 | sin(x)*cos(3*x)           | cos(3*x)*sin(x)   
 |                           |                   
/                           /
∫1sin⁡(x)cos⁡(3x) dx=C+∫1sin⁡(x)cos⁡(3x) dx\int \frac{1}{\sin{\left(x \right)} \cos{\left(3 x \right)}}\, dx = C + \int \frac{1}{\sin{\left(x \right)} \cos{\left(3 x \right)}}\, dx
Simplify
The answer [src] 
  1                   
  /                   
 |                    
 |         1          
 |  --------------- dx
 |  cos(3*x)*sin(x)   
 |                    
/                     
0
∫011sin⁡(x)cos⁡(3x) dx\int\limits_{0}^{1} \frac{1}{\sin{\left(x \right)} \cos{\left(3 x \right)}}\, dx 
=
= 
  1                   
  /                   
 |                    
 |         1          
 |  --------------- dx
 |  cos(3*x)*sin(x)   
 |                    
/                     
0
∫011sin⁡(x)cos⁡(3x) dx\int\limits_{0}^{1} \frac{1}{\sin{\left(x \right)} \cos{\left(3 x \right)}}\, dx 
Integral(1/(cos(3*x)*sin(x)), (x, 0, 1))
Numerical answer [src] 
34.6876782929381
34.6876782929381

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

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