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Solving integrals/ sin(xy)

Integral of sin(xy) dx

Limits of integration:

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The solution

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

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

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