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e^(x+1)

Integral of e^(x+1) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1          
  /          
 |           
 |   x + 1   
 |  E      dx
 |           
/            
0            
$$\int\limits_{0}^{1} e^{x + 1}\, dx$$
Integral(E^(x + 1), (x, 0, 1))
Detail solution
  1. There are multiple ways to do this integral.

    Method #1

    1. Let .

      Then let and substitute :

      1. The integral of the exponential function is itself.

      Now substitute back in:

    Method #2

    1. Rewrite the integrand:

    2. 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:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                      
 |                       
 |  x + 1           x + 1
 | E      dx = C + e     
 |                       
/                        
$$\int e^{x + 1}\, dx = C + e^{x + 1}$$
The graph
The answer [src]
      2
-E + e 
$$- e + e^{2}$$
=
=
      2
-E + e 
$$- e + e^{2}$$
-E + exp(2)
Numerical answer [src]
4.6707742704716
4.6707742704716
The graph
Integral of e^(x+1) dx

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