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categoryالرياضيات schoolبكالوريوس event_available2026-07-14

السؤال

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(a) Sketch the curve y = x². y y y (b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Observe that one of these is an improper integral. (I) L= b dy dx dx L = L = Jo (II) L = 1+ d Lov -(3) 1 + 1 9 √1+ 4y dy ✓ dx = dy (#) (()) (13√13-8) (c) Find the length of the arc of this curve from (-1, 1) to (8, 4).

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