The phrase "examining cursorily" implies a superficial or brief inspection of something, and there are many synonyms that could be used to convey a similar meaning. Some options might include words like scanning, skimming, glancing, perusing, or reviewing. Each of these words implies a quick or casual assessment of something without delving into too much detail, and could be used in various contexts such as reading a document, inspecting a physical object, or evaluating data. Ultimately, the specific synonym chosen will depend on the tone and context of the sentence, as well as the writer's personal style and voice.