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Identical expressions
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one divide by 2e to the power of ( minus 2x)
1/2e(-2x)
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Similar expressions
1/2e^(2x)

Solving integrals/ 1/2e^(-2x)

Integral of 1/2e^(-2x) dx

The solution

You have entered [src]

  1         
  /         
 |          
 |   -2*x   
 |  e       
 |  ----- dx
 |    2     
 |          
/           
0

$$\int\limits_{0}^{1} \frac{e^{- 2 x}}{2}\, dx$$

Simplify

Detail solution

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

$\int \frac{e^{- 2 x}}{2}\, dx = \frac{\int e^{- 2 x}\, dx}{2}$
1. Don't know the steps in finding this integral.
  
  But the integral is
  
  $- \frac{e^{- 2 x}}{2}$
So, the result is: $- \frac{e^{- 2 x}}{4}$
Add the constant of integration:

$- \frac{e^{- 2 x}}{4}+ \mathrm{constant}$

The answer is:

$- \frac{e^{- 2 x}}{4}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                    
 |                     
 |  -2*x           -2*x
 | e              e    
 | ----- dx = C - -----
 |   2              4  
 |                     
/

$$-{{e^ {- 2\,x }}\over{4}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

     -2
1   e  
- - ---
4    4

$${{{{1}\over{2}}-{{e^ {- 2 }}\over{2}}}\over{2}}$$

     -2
1   e  
- - ---
4    4

$$- \frac{1}{4 e^{2}} + \frac{1}{4}$$

Simplify

Numerical answer [src]

0.216166179190847

0.216166179190847

The graph

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

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Identical expressions

Similar expressions

Integral of 1/2e^(-2x) dx

Limits of integration:

The graph:

Piecewise:

The solution