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Solving integrals/ sin(nx)

Integral of sin(nx) dx

Limits of integration:

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The solution

You have entered [src] 
  1            
  /            
 |             
 |  sin(n*x) dx
 |             
/              
0
∫01sin⁡(nx) dx\int\limits_{0}^{1} \sin{\left(n x \right)}\, dx
Simplify
The answer (Indefinite) [src] 
  /                  //-cos(n*x)             \
 |                   ||----------  for n != 0|
 | sin(n*x) dx = C + |<    n                 |
 |                   ||                      |
/                    \\    0       otherwise /
−cos⁡(n x)n-{{\cos \left(n\,x\right)}\over{n}}
Simplify
The answer [src] 
/1   cos(n)                                  
|- - ------  for And(n > -oo, n < oo, n != 0)
1n−cos⁡nn{{1}\over{n}}-{{\cos n}\over{n}} 
=
= 
/1   cos(n)                                  
|- - ------  for And(n > -oo, n < oo, n != 0)
{−cos⁡(n)n+1nfor n>−∞∧n<∞∧n≠00otherwise\begin{cases} - \frac{\cos{\left(n \right)}}{n} + \frac{1}{n} & \text{for}\: n > -\infty \wedge n < \infty \wedge n \neq 0 \\0 & \text{otherwise} \end{cases}
Simplify

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

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