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Solving integrals/ x*e

Integral of x*e dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  0       
  /       
 |        
 |  x*E dx
 |        
/         
-oo
$$\int\limits_{-\infty}^{0} e x\, dx$$ 
Integral(x*E, (x, -oo, 0))
Detail solution

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

    1. The integral of is when :

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                2
 |              E*x 
 | x*E dx = C + ----
 |               2  
/
$$\int e x\, dx = C + \frac{e x^{2}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-oo
$$-\infty$$ 
=
= 
-oo
$$-\infty$$ 
-oo

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

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