Using iterated integrals to get the area with strict conditions

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We were tasked to use iterated integrals over this area shaded in yellow here: Area to find

I'm confused as to how to approach this as I've only seen ones that encompass the whole space inside the closed shape made by functions. How would you suggest I go about this problem? do we break it to pieces or something? Should I just horizontally cut it up and set the upper bound to 4 and lower bound to 0? What would be a good approach for this?