Followed by Muthukkumaran's reply
Restore a full backup with norecovery on 6/22/11 +
Restore a Differential backup with recovery on 6/25/11 if you don't have log back up
If you have log back up restore a Differential backup on 6/25/11 with norecovery.
Be informed that you must restore all back up with no recovery except the last one.