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e^x(x+1)

Integral of e^x(x+1) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1              
  /              
 |               
 |   x           
 |  E *(x + 1) dx
 |               
/                
0                
$$\int\limits_{0}^{1} e^{x} \left(x + 1\right)\, dx$$
Integral(E^x*(x + 1), (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 the exponential function is itself.

    The result is:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                        
 |                         
 |  x                     x
 | E *(x + 1) dx = C + x*e 
 |                         
/                          
$$\int e^{x} \left(x + 1\right)\, dx = C + x e^{x}$$
The graph
The answer [src]
E
$$e$$
=
=
E
$$e$$
E
Numerical answer [src]
2.71828182845905
2.71828182845905
The graph
Integral of e^x(x+1) dx

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