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### Integration of e^-x = ...? ____________________________________

```      -x
-e   + C
```
##### Explanation
```We know the integration formula for exponential function.
/
|  f(x)               f(x)
| e     . f'(x) dx = e     + C  for base e logarithm
|
/
```

Here f(x) is the function of x and f'(x) derivative of f(x) and e is exponential function.

```Now we solve the above question.

/
|  -x
| e  dx
|
/
```

Here -x is function of x. Its derivative is not exist so first of all we try to make derivate of -x. Derivative of -x is -1.

```      /
|  -x    -1
= | e   . ----- dx
|        -1
/

/
|  -x
= -1 | e   . -1 dx
|
/

-x
= -1 . e    + C
-x
= - e   + C
```

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##### SHORTCUT TRICKS (Division)
• Divisible by 2 Shortcut trick
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• Divisible by 10 Shortcut trick

##### Worksheets (Solved)

###### Integration     