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4*e^x
Solving integrals/ 4*e^x

Integral of 4*e^x dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src] 
  1        
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 |  4*E  dx
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0
∫014ex dx\int\limits_{0}^{1} 4 e^{x}\, dx 
Integral(4*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:

    ∫4ex dx=4∫ex dx\int 4 e^{x}\, dx = 4 \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: 4ex4 e^{x}

  2. Add the constant of integration:

    4ex+constant4 e^{x}+ \mathrm{constant}

The answer is:

4ex+constant4 e^{x}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                  
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 |    x             x
 | 4*E  dx = C + 4*e 
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∫4ex dx=C+4ex\int 4 e^{x}\, dx = C + 4 e^{x}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90020
Plot the graph f(x)
The answer [src] 
-4 + 4*E
−4+4e-4 + 4 e 
=
= 
-4 + 4*E
−4+4e-4 + 4 e 
-4 + 4*E
Numerical answer [src] 
6.87312731383618
6.87312731383618
The graph
Integral of 4*e^x dx

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

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