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Solving integrals/ cos(w*x)

Integral of cos(w*x) dx

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The solution

You have entered [src] 
  1            
  /            
 |             
 |  cos(w*x) dx
 |             
/              
0
$$\int\limits_{0}^{1} \cos{\left(w x \right)}\, dx$$ 
Integral(cos(w*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                  //sin(w*x)            \
 |                   ||--------  for w != 0|
 | cos(w*x) dx = C + |<   w                |
 |                   ||                    |
/                    \\   x      otherwise /
$$\int \cos{\left(w x \right)}\, dx = C + \begin{cases} \frac{\sin{\left(w x \right)}}{w} & \text{for}\: w \neq 0 \\x & \text{otherwise} \end{cases}$$
Simplify
The answer [src] 
/sin(w)                                  
|------  for And(w > -oo, w < oo, w != 0)
<  w                                     
|                                        
\  1                otherwise
$$\begin{cases} \frac{\sin{\left(w \right)}}{w} & \text{for}\: w > -\infty \wedge w < \infty \wedge w \neq 0 \\1 & \text{otherwise} \end{cases}$$ 
=
= 
/sin(w)                                  
|------  for And(w > -oo, w < oo, w != 0)
<  w                                     
|                                        
\  1                otherwise
$$\begin{cases} \frac{\sin{\left(w \right)}}{w} & \text{for}\: w > -\infty \wedge w < \infty \wedge w \neq 0 \\1 & \text{otherwise} \end{cases}$$
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    Use the examples entering the upper and lower limits of integration.

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