Should I put my LinkedIn URL on my resume?
TLDR: no.
Broadly, no – we don't recommend linking to your LinkedIn on your resume because it opens you up to screeners' visual biases and possible discrimination. Aside from the classic sexism/racism/xenophobic biases (both conscious and unconscious), their brain might involuntarily think you look too young, too old, too much like a frat bro, too pretty, blindingly unattractive, unprofessional, or even too professional... point is, every single HR person is looking for a reason to pass on your application. In effect, sending them to your LinkedIn instead of letting them focus on your resume adds a visual component to a decision that should be based solely on your qualifications. Don't give them another opportunity to say no because of how you look.
As another drawback, it also pulls them into a social networking app, which breaks their focus. They could then become distracted (because that's what social media is designed to do), which could pull them away from the task at hand: deciding on your candidacy and scheduling your interview.
Plus, the information on your LinkedIn should basically match your resume anyway (there's no space constraint on LI so it can be longer--but should never contradict) – it would be weird if it didn't. So it truly adds nothing to your resume. Be sure to update your LinkedIn after this process though to match your new resume. That way when you apply for roles on LinkedIn, your profile is just as impressive as your new "Sheets" resume!
One exception: for executive-level candidates, including your LinkedIn--assuming it is strong and current--is recommended.