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e^u
Solving integrals/ e^u

Integral of e^u dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |   u   
 |  E  du
 |       
/        
0
∫01eu du\int\limits_{0}^{1} e^{u}\, du 
Integral(E^u, (u, 0, 1))
Detail solution

  1. The integral of the exponential function is itself.

    ∫eu du=eu\int e^{u}\, du = e^{u}

  2. Now simplify:

    eue^{u}

  3. Add the constant of integration:

    eu+constante^{u}+ \mathrm{constant}

The answer is:

eu+constante^{u}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /              
 |               
 |  u           u
 | E  du = C + E 
 |               
/
∫eu du=eu+C\int e^{u}\, du = e^{u} + C
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9004
Plot the graph f(x)
The answer [src] 
-1 + E
−1+e-1 + e 
=
= 
-1 + E
−1+e-1 + e 
-1 + E
Numerical answer [src] 
1.71828182845905
1.71828182845905
The graph
Integral of e^u dx

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

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