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exp(1-2x)
Solving integrals/ exp(1-2x)

Integral of exp(1-2x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |   1 - 2*x   
 |  e        dx
 |             
/              
0
$$\int\limits_{0}^{1} e^{1 - 2 x}\, dx$$ 
Integral(exp(1 - 2*x), (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. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                          
 |                    1 - 2*x
 |  1 - 2*x          e       
 | e        dx = C - --------
 |                      2    
/
$$\int e^{1 - 2 x}\, dx = C - \frac{e^{1 - 2 x}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
     -1
E   e  
- - ---
2    2
$$- \frac{1}{2 e} + \frac{e}{2}$$ 
=
= 
     -1
E   e  
- - ---
2    2
$$- \frac{1}{2 e} + \frac{e}{2}$$ 
E/2 - exp(-1)/2
Numerical answer [src] 
1.1752011936438
1.1752011936438
The graph
Integral of exp(1-2x) dx

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

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