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### Integration of x^n = x^(n + 1) / n + 1 is use only when = ...? ____________________________________

x^a

##### Explanation
```We know the famous power formula is

n + 1
/  n         x
| x  dx = ------- + C     (n ≠ -1) ..... (i)
/          n + 1
```

This formula will use when we have to find integration of any power function type question and its exponent value also should not be equal to -1.

```
x
Given option (a) is a
```

is an exponential form so we cant apply the above power formula of integration

```
x
Given option (b) is x
```

is has also variable power x so we cant apply the above power formula of integration

```
-1
Given option (c) is x
```

is in power form but its power is -1 so we cant apply the above power formula of integration

```
a
Given option (d) is x
```

is in power form and its power is also not equal to -1. So only here we can apply the above formula.

```                  a + 1
/  a         x
| x  dx = ------- + C
/          a + 1

a
so x  is only true for apply above formula.
```

____________________________________

##### Note

Always add the condition (n ≠ -1) in front of power rule integration formula.

```                n + 1
/  n       x
| x  dx = ------- + C         (n ≠ -1)
/          n + 1
```

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##### Worksheets (Solved)

###### Integration     