Mister Exam

Integral of e^x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1      
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 |   x   
 |  E  dx
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0        
01exdx\int\limits_{0}^{1} e^{x}\, dx
Integral(E^x, (x, 0, 1))
Detail solution
  1. The integral of the exponential function is itself.

    exdx=ex\int e^{x}\, dx = e^{x}

  2. Now simplify:

    exe^{x}

  3. Add the constant of integration:

    ex+constante^{x}+ \mathrm{constant}


The answer is:

ex+constante^{x}+ \mathrm{constant}

The answer (Indefinite) [src]
  /              
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 |  x           x
 | E  dx = C + E 
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exdx=ex+C\int e^{x}\, dx = e^{x} + C
The graph
0.001.000.100.200.300.400.500.600.700.800.9004
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^x dx

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