Mister Exam

Integral of sin(xy) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1            
  /            
 |             
 |  sin(x*y) dx
 |             
/              
0              
$$\int\limits_{0}^{1} \sin{\left(x y \right)}\, dx$$
The answer (Indefinite) [src]
  /                  //-cos(x*y)             \
 |                   ||----------  for y != 0|
 | sin(x*y) dx = C + |<    y                 |
 |                   ||                      |
/                    \\    0       otherwise /
$$-{{\cos \left(x\,y\right)}\over{y}}$$
The answer [src]
/1   cos(y)                                  
|- - ------  for And(y > -oo, y < oo, y != 0)

            
$${{1}\over{y}}-{{\cos y}\over{y}}$$
=
=
/1   cos(y)                                  
|- - ------  for And(y > -oo, y < oo, y != 0)

            
$$\begin{cases} - \frac{\cos{\left(y \right)}}{y} + \frac{1}{y} & \text{for}\: y > -\infty \wedge y < \infty \wedge y \neq 0 \\0 & \text{otherwise} \end{cases}$$

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