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

Integral of 4*e^x dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1        
  /        
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 |     x   
 |  4*E  dx
 |         
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0
$$\int\limits_{0}^{1} 4 e^{x}\, dx$$ 
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:

    1. The integral of the exponential function is itself.

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                  
 |                   
 |    x             x
 | 4*E  dx = C + 4*e 
 |                   
/
$$\int 4 e^{x}\, dx = C + 4 e^{x}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-4 + 4*E
$$-4 + 4 e$$ 
=
= 
-4 + 4*E
$$-4 + 4 e$$ 
-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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