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ex+1
Solving integrals/ ex+1

Integral of ex+1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |  / x    \   
 |  \E  + 1/ dx
 |             
/              
0
$$\int\limits_{0}^{1} \left(e^{x} + 1\right)\, dx$$ 
Integral(E^x + 1, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

    1. The integral of the exponential function is itself.

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

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

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

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