Final answer:
The two categories of factors that influence cognitive appraisal in the Integrated Model of Psychological Response are primary appraisals and secondary appraisals.
Step-by-step explanation:
In the Integrated Model of Psychological Response, there are two categories of factors that influence cognitive appraisal: primary appraisals and secondary appraisals.
Primary appraisal involves judging the potential harm or threat a stressor might entail, while secondary appraisal involves assessing the options available to cope with the stressor and the perceived effectiveness of those options.