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Solving integrals/ xye^(xy^2)dy

Integral of xye^(xy^2)dy dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |          2     
 |       x*y      
 |  x*y*e    *1 dy
 |                
/                 
0
$$\int\limits_{0}^{1} x y e^{x y^{2}} \cdot 1\, dy$$
Simplify
The answer (Indefinite) [src] 
                          //  2             \
  /                       || y              |
 |                        || --    for x = 0|
 |         2              || 2              |
 |      x*y               ||                |
 | x*y*e    *1 dy = C + x*|<    2           |
 |                        || x*y            |
/                         ||e               |
                          ||-----  otherwise|
                          || 2*x            |
                          \\                /
$${{e^{x\,y^2}}\over{2}}$$
Simplify
The answer [src] 
       x
  1   e 
- - + --
  2   2
$$x\,\left({{e^{x}}\over{2\,x}}-{{1}\over{2\,x}}\right)$$ 
=
= 
       x
  1   e 
- - + --
  2   2
$$\frac{e^{x}}{2} - \frac{1}{2}$$
Simplify

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

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