Mister Exam

Other calculators

Solving integrals/ exp(-ax)

Integral of exp(-ax) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |   -a*x   
 |  e     dx
 |          
/           
0
$$\int\limits_{0}^{1} e^{- a x}\, dx$$ 
Integral(exp((-a)*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /               //  -a*x             \
 |                ||-e                 |
 |  -a*x          ||-------  for a != 0|
 | e     dx = C + |<   a               |
 |                ||                   |
/                 ||   x     otherwise |
                  \\                   /
$$-{{e^ {- a\,x }}\over{a}}$$
Simplify
The answer [src] 
/     -a                                  
|1   e                                    
|- - ---  for And(a > -oo, a < oo, a != 0)
$${{1}\over{a}}-{{e^ {- a }}\over{a}}$$ 
=
= 
/     -a                                  
|1   e                                    
|- - ---  for And(a > -oo, a < oo, a != 0)
$$\begin{cases} \frac{1}{a} - \frac{e^{- a}}{a} & \text{for}\: a > -\infty \wedge a < \infty \wedge a \neq 0 \\1 & \text{otherwise} \end{cases}$$
Упростить

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

    © Mister Exam – Calculator