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e^t
Solving integrals/ e^t

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
∫01et dt\int\limits_{0}^{1} e^{t}\, dt 
Integral(E^t, (t, 0, 1))
Detail solution

  1. The integral of the exponential function is itself.

    ∫et dt=et\int e^{t}\, dt = e^{t}

  2. Now simplify:

    ete^{t}

  3. Add the constant of integration:

    et+constante^{t}+ \mathrm{constant}

The answer is:

et+constante^{t}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /              
 |               
 |  t           t
 | E  dt = C + E 
 |               
/
∫et dt=et+C\int e^{t}\, dt = e^{t} + 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^t dx

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

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