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Solving integrals/ sin(w*t)/w

Integral of sin(w*t)/w dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

    SiRule(a=t, b=0, context=sin(t*w)/w, symbol=w)

  1. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                         
 |                          
 | sin(w*t)                 
 | -------- dw = C + Si(t*w)
 |    w                     
 |                          
/
$$\int \frac{\sin{\left(t w \right)}}{w}\, dw = C + \operatorname{Si}{\left(t w \right)}$$
Simplify
The answer [src] 
Si(t)
$$\operatorname{Si}{\left(t \right)}$$ 
=
= 
Si(t)
$$\operatorname{Si}{\left(t \right)}$$ 
Si(t)

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

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