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Solving integrals/ yx^2e^xy

You entered:

yx^2e^xy

What you mean?

y*x^2*e^x*y
 
y*x^((2*e)^(x*y))
 
y*x^((2*e)^(x*y))

Integral of yx^2e^xy dy

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2             
  /             
 |              
 |     2  x     
 |  y*x *e *y dy
 |              
/               
0
$$\int\limits_{0}^{2} x^{2} y y e^{x}\, dy$$
Simplify
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    1. Don't know the steps in finding this integral.

      But the integral is

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                           
 |                     2  3  x
 |    2  x            x *y *e 
 | y*x *e *y dy = C + --------
 |                       3    
/
$${{x^2\,e^{x}\,y^3}\over{3}}$$
Simplify
The answer [src] 
   2  x
8*x *e 
-------
   3
$${{8\,x^2\,e^{x}}\over{3}}$$ 
=
= 
   2  x
8*x *e 
-------
   3
$$\frac{8 x^{2} e^{x}}{3}$$
Simplify

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

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