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Solving integrals/ sinx/(sin2xcosx)

Integral of sinx/(sin2xcosx) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                   
  /                   
 |                    
 |       sin(x)       
 |  --------------- dx
 |  sin(2*x)*cos(x)   
 |                    
/                     
0
$$\int\limits_{0}^{1} \frac{\sin{\left(x \right)}}{\sin{\left(2 x \right)} \cos{\left(x \right)}}\, dx$$ 
Integral(sin(x)/((sin(2*x)*cos(x))), (x, 0, 1))
Detail solution

  1. Rewrite the integrand:

  2. The integral of a constant times a function is the constant times the integral of the function:

    1. Don't know the steps in finding this integral.

      But the integral is

    So, the result is:

  3. Now simplify:

  4. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                 
 |                                  
 |      sin(x)               sin(x) 
 | --------------- dx = C + --------
 | sin(2*x)*cos(x)          2*cos(x)
 |                                  
/
$$\int \frac{\sin{\left(x \right)}}{\sin{\left(2 x \right)} \cos{\left(x \right)}}\, dx = C + \frac{\sin{\left(x \right)}}{2 \cos{\left(x \right)}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
 sin(1) 
--------
2*cos(1)
$$\frac{\sin{\left(1 \right)}}{2 \cos{\left(1 \right)}}$$ 
=
= 
 sin(1) 
--------
2*cos(1)
$$\frac{\sin{\left(1 \right)}}{2 \cos{\left(1 \right)}}$$ 
sin(1)/(2*cos(1))
Numerical answer [src] 
0.778703862327451
0.778703862327451

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

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