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(sin(7x))/sin(x)
Solving integrals/ (sin(7x))/sin(x)

Integral of (sin(7x))/sin(x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |  sin(7*x)   
 |  -------- dx
 |   sin(x)    
 |             
/              
0
$$\int\limits_{0}^{1} \frac{\sin{\left(7 x \right)}}{\sin{\left(x \right)}}\, dx$$ 
Integral(sin(7*x)/sin(x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                         
 |                                                    3     
 | sin(7*x)              sin(4*x)                4*sin (2*x)
 | -------- dx = C + x + -------- + 2*sin(2*x) - -----------
 |  sin(x)                  2                         3     
 |                                                          
/
$$\int \frac{\sin{\left(7 x \right)}}{\sin{\left(x \right)}}\, dx = C + x - \frac{4 \sin^{3}{\left(2 x \right)}}{3} + 2 \sin{\left(2 x \right)} + \frac{\sin{\left(4 x \right)}}{2}$$
Simplify
The graph
Plot the graph f(x)
Numerical answer [src] 
1.43775767977208
1.43775767977208
The graph
Integral of (sin(7x))/sin(x) dx

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

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