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(x-2)e^x

Integral of (x-2)e^x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1              
  /              
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 |           x   
 |  (x - 2)*E  dx
 |               
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0                
$$\int\limits_{0}^{1} e^{x} \left(x - 2\right)\, dx$$
Integral((x - 2)*E^x, (x, 0, 1))
Detail solution
  1. Rewrite the integrand:

  2. Integrate term-by-term:

    1. Use integration by parts:

      Let and let .

      Then .

      To find :

      1. The integral of the exponential function is itself.

      Now evaluate the sub-integral.

    2. The integral of the exponential function is itself.

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

      1. The integral of the exponential function is itself.

      So, the result is:

    The result is:

  3. Now simplify:

  4. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                               
 |                                
 |          x             x      x
 | (x - 2)*E  dx = C - 3*e  + x*e 
 |                                
/                                 
$$\int e^{x} \left(x - 2\right)\, dx = C + x e^{x} - 3 e^{x}$$
The graph
The answer [src]
3 - 2*E
$$3 - 2 e$$
=
=
3 - 2*E
$$3 - 2 e$$
3 - 2*E
Numerical answer [src]
-2.43656365691809
-2.43656365691809
The graph
Integral of (x-2)e^x dx

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