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### Integration of Cos √x = ...?

____________________________________

```          __        __
=  2\/ x  sin \/ x   + C
```
##### Explanation
```    /       __
| Cos \/ x  dx
/
__
sin \/ x
= ----------- + C
d    __
---- \/ x
dx

__
sin \/ x
= -----------  + C
1    -1/2
--- (x)
2

__
sin \/ x
= -----------  + C
1
------
__
2\/ x

__        __
=  2\/ x  sin \/ x  + C
```
```    Above question was wrong sorry for that.
/       __
| Cos \/ x  dx
/                           __
Let \/ x = t
Diff. w.r.t. x

1   - 1/2
--- x      dx = dt
2
__
dx / 2\/ x  = dt

dx / 2t  = dt

dx = 2t dt

/
=| Cos t . 2t dt
/

/
= 2| t . Cos t dt
/

/
= 2t(sin t) - | 1. sin t dt
/
= 2t . sin t - (- cos t)

= 2t . sin t + cos t
__         __         __
= 2\/ x . sin \/ x + cos \/ x

```

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