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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |      -2*x   
 |  -2*e     dx
 |             
/              
0
$$\int\limits_{0}^{1} \left(- 2 e^{- 2 x}\right)\, dx$$ 
Integral(-2*exp(-2*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. Don't know the steps in finding this integral.

      But the integral is

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                       
 |                        
 |     -2*x           -2*x
 | -2*e     dx = C + e    
 |                        
/
$$e^ {- 2\,x }$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
      -2
-1 + e
$$-2\,\left({{1}\over{2}}-{{e^ {- 2 }}\over{2}}\right)$$ 
=
= 
      -2
-1 + e
$$-1 + e^{-2}$$
Simplify
Numerical answer [src] 
-0.864664716763387
-0.864664716763387
The graph
Integral of -2e^(-2x) dx

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

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