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Solving integrals/ sinxdx/sin2x*cosx

Integral of sinxdx/sin2x*cosx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                   
  /                   
 |                    
 |   sin(x)           
 |  --------*cos(x) dx
 |  sin(2*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 is the constant times the variable of integration:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                          
 |                           
 |  sin(x)                  x
 | --------*cos(x) dx = C + -
 | sin(2*x)                 2
 |                           
/
$$\int \frac{\sin{\left(x \right)}}{\sin{\left(2 x \right)}} \cos{\left(x \right)}\, dx = C + \frac{x}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1/2
$$\frac{1}{2}$$ 
=
= 
1/2
$$\frac{1}{2}$$ 
1/2
Numerical answer [src] 
0.5
0.5

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

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