If unallocated space is beside your NTFS partition, you can extend it using gparted. If not, you better make a screenshot of you gparted window, then some specific directions can be made.
And noone will give 100% guarantee that the data won't be lost. It is recommended to backup your data. But in most cases it works OK. It is your decision.
Based on your information you can do it, but some moving is needed. Boot from Ubuntu LiveCD, start gparted, do not click any partitions, so they do not mount and do:
- Click swap partition and disable swap.
- Delete /dev/sda5 partition.
- Delete /dev/sda3 partition
- Extend your /dev/sda2 partition left.
- Press apply button. It will take some time.
We removed your swap partition. It is too small to be relevant (165 MB). It is not needed this small anyway.
Now run
sudo gedit /etc/fstab
And remove the line with the swap partition and save the file.
Now we are done. If you want to have swap, you can leave some space at the end and create a swap partition. Then you will need to add it to /etc/fstab file with UUID, which you can find in gparted same way as it was made before. Size of swap depends on you ram size, and maybe you don't need it at all. Anyway swap should be not less than 1GB. Smaller makes no sense at all.