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e^(x*(-4))
Solving integrals/ e^(x*(-4))

Integral of e^(x*(-4)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |   x*(-4)   
 |  E       dx
 |            
/             
0
$$\int\limits_{0}^{1} e^{\left(-4\right) x}\, dx$$ 
Integral(E^(x*(-4)), (x, 0, 1))
Detail solution

  1. Let .

    Then let and substitute :

    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:

    Now substitute back in:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                        
 |                   x*(-4)
 |  x*(-4)          e      
 | E       dx = C - -------
 |                     4   
/
$$\int e^{\left(-4\right) x}\, dx = C - \frac{e^{\left(-4\right) x}}{4}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
     -4
1   e  
- - ---
4    4
$$\frac{1}{4} - \frac{1}{4 e^{4}}$$ 
=
= 
     -4
1   e  
- - ---
4    4
$$\frac{1}{4} - \frac{1}{4 e^{4}}$$ 
1/4 - exp(-4)/4
Numerical answer [src] 
0.245421090277816
0.245421090277816
The graph
Integral of e^(x*(-4)) dx

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

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