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Derivative of:
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Identical expressions
e^(a*x)
e to the power of (a multiply by x)
e(a*x)
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e^(ax)
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Integral of e^(a*x) dx

The solution

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$$\int\limits_{0}^{1} e^{a x}\, dx$$

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 |
                 \\                /

$${{e^{a\,x}}\over{a}}$$

Simplify

The answer [src]

/       a                                  
|  1   e                                   
|- - + --  for And(a > -oo, a < oo, a != 0)
<  a   a                                   
|                                          
|   1                 otherwise            
\

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

/       a                                  
|  1   e                                   
|- - + --  for And(a > -oo, a < oo, a != 0)
<  a   a                                   
|                                          
|   1                 otherwise            
\

$$\begin{cases} \frac{e^{a}}{a} - \frac{1}{a} & \text{for}\: a > -\infty \wedge a < \infty \wedge a \neq 0 \\1 & \text{otherwise} \end{cases}$$

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

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Integral of e^(a*x) dx

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The solution