Mister Exam

Integral of e^t dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1      
  /      
 |       
 |   t   
 |  E  dt
 |       
/        
0        
$$\int\limits_{0}^{1} e^{t}\, dt$$
Integral(E^t, (t, 0, 1))
Detail solution
  1. The integral of the exponential function is itself.

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /              
 |               
 |  t           t
 | E  dt = C + E 
 |               
/                
$$\int e^{t}\, dt = e^{t} + C$$
The graph
The answer [src]
-1 + E
$$-1 + e$$
=
=
-1 + E
$$-1 + e$$
-1 + E
Numerical answer [src]
1.71828182845905
1.71828182845905
The graph
Integral of e^t dx

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