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### Integration of x . Int. 1/(x^2 + 1) = ...? ____________________________________

```         -1
x tan x + C
```
##### Explanation
```If we solve it as ...

\  /                    /
\ |   1               /
x |-------           /
|      2          /
| 1 + x          /
/   \           /
\         /
/          /
1 |   2x    /
= ---|------- /
2x |      2
| 1 + x \
/    /   \
/     \
1    /      2
= --- ln (1 + x )   + C
2x  /          \
/            \
/              \
/                \
```
```
Here x is before the integration sign.
So here we have to find only the integration of 1/(1+x^2)

/
|   1
x |-------
|      2
| 1 + x
/
-1
= x . tan x + C

-1
= x tan x + C
```

____________________________________

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

##### Worksheets (Solved)

###### Integration     