Another term is טוהר המידות – literally, purity of character traits. This is integrity in the more literal sense – that the person’s traits are integrated successfully into their character. While יושר is used more in conversation, טוהר המידות appears primarily in legal or philosophical contexts.
Take this excerpt from a treatise on ethics for example: (beginning of page 6)
Integrity in the public service is the lifeblood (breath of its nose) of democracy.