Bank sent a 1099-INT listing three accounts the total but one of the accounts had the incorrect amount of interest received. The bank has since corrected the interest received for the one account and sent a "corrected" 1099-INT for only that one account. Should the bank have sent a "corrected" 1099-INT showing all three accounts and the total (it is my understanding that a "corrected" 1099-INT cancels out the original so the "corrected 1099" would cancel out the interest received for other two accounts) or do I just list the interest for each account individually using the correct amount from the "corrected" 1099?
Typically a corrected form does supersede the original form filed with the IRS.
Even though it appears that you have only received a single Form 1099-INT showing multiple accounts, there was a Form 1099-INT issued to the IRS for each account. So, the correction for the single account that was changed does not affect the others.
To avoid confusion on your return, you should list each account individually and use the corrected interest for the single account that was corrected.