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categoryالرياضيات schoolبكالوريوس event_available2026-07-15

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Use a double integral to find the area of the region inside the cardioid 7 = r = 6 cos 0 and above the x-axis (picture below). Ө NOTE: When typing your answers use "th" for 0. 2+2 cos 0, outside the circle As ranges the curves which we cross to enter and exit the region changes so we must express the area as a sum of integrals 02 Area of region = r dr de + r dr de 01 02 where 0₁ = = 02 = T₁ = 12= 13= € [0,02) € (01, π) 14= Area of region= Hint: It is good practice to sketch the region and will help you prepare for exams.

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