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Solving integrals/ e^(ax)

Integral of e^(ax) dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |   a*x   
 |  E    dx
 |         
/          
0
∫01eax dx\int\limits_{0}^{1} e^{a x}\, dx 
Integral(E^(a*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /              // a*x            \
 |               ||e               |
 |  a*x          ||----  for a != 0|
 | E    dx = C + |< a              |
 |               ||                |
/                || x    otherwise |
                 \\                /
∫eax dx=C+{eaxafor a≠0xotherwise\int e^{a x}\, dx = C + \begin{cases} \frac{e^{a x}}{a} & \text{for}\: a \neq 0 \\x & \text{otherwise} \end{cases}
Simplify
The answer [src] 
/       a                                  
|  1   e                                   
|- - + --  for And(a > -oo, a < oo, a != 0)
<  a   a                                   
|                                          
|   1                 otherwise            
\
{eaa−1afor a>−∞∧a<∞∧a≠01otherwise\begin{cases} \frac{e^{a}}{a} - \frac{1}{a} & \text{for}\: a > -\infty \wedge a < \infty \wedge a \neq 0 \\1 & \text{otherwise} \end{cases} 
=
= 
/       a                                  
|  1   e                                   
|- - + --  for And(a > -oo, a < oo, a != 0)
<  a   a                                   
|                                          
|   1                 otherwise            
\
{eaa−1afor a>−∞∧a<∞∧a≠01otherwise\begin{cases} \frac{e^{a}}{a} - \frac{1}{a} & \text{for}\: a > -\infty \wedge a < \infty \wedge a \neq 0 \\1 & \text{otherwise} \end{cases} 
Piecewise((-1/a + exp(a)/a, (a > -oo)∧(a < oo)∧(Ne(a, 0))), (1, True))

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

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