A requirement is a minimum standard. If you're asked for your salary requirement, you're being asked what amount of money you're willing to work for. If an employer advertises a requirement of 3...
If you want a job, just for a little extra cash sure, that's fine to an extent. Now if you want a job that will support you or a family, make sure you get what you need.
If the employer requests salary history, and only if they request it, just update your resume and add your annual salary to either the far right column or below your position. As far as requirements....