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2e^x
Solving integrals/ 2e^x

Integral of 2e^x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1        
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 |  2*E  dx
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0
∫012ex dx\int\limits_{0}^{1} 2 e^{x}\, dx 
Integral(2*E^x, (x, 0, 1))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    ∫2ex dx=2∫ex dx\int 2 e^{x}\, dx = 2 \int e^{x}\, dx

    1. The integral of the exponential function is itself.

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

    So, the result is: 2ex2 e^{x}

  2. Add the constant of integration:

    2ex+constant2 e^{x}+ \mathrm{constant}

The answer is:

2ex+constant2 e^{x}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                  
 |                   
 |    x             x
 | 2*E  dx = C + 2*e 
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∫2ex dx=C+2ex\int 2 e^{x}\, dx = C + 2 e^{x}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90010
Plot the graph f(x)
The answer [src] 
-2 + 2*E
−2+2e-2 + 2 e 
=
= 
-2 + 2*E
−2+2e-2 + 2 e 
-2 + 2*E
Numerical answer [src] 
3.43656365691809
3.43656365691809
The graph
Integral of 2e^x dx

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

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