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Solving integrals/ xye^((x^2)y)

Integral of xye^((x^2)y) 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     dx
 |              
/               
0
∫01xyex2y dx\int\limits_{0}^{1} x y e^{x^{2} y}\, dx 
Integral(x*y*E^(x^2*y), (x, 0, 1))
The answer (Indefinite) [src] 
                        //  2             \
  /                     || x              |
 |                      || --    for y = 0|
 |       2              || 2              |
 |      x *y            ||                |
 | x*y*e     dx = C + y*|<  2             |
 |                      || x *y           |
/                       ||e               |
                        ||-----  otherwise|
                        || 2*y            |
                        \\                /
ex2 y2{{e^{x^2\,y}}\over{2}}
Simplify
The answer [src] 
       y
  1   e 
- - + --
  2   2
y (ey2 y−12 y)y\,\left({{e^{y}}\over{2\,y}}-{{1}\over{2\,y}}\right) 
=
= 
       y
  1   e 
- - + --
  2   2
ey2−12\frac{e^{y}}{2} - \frac{1}{2}
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