2 1 2 1 4 2 4 2s 4x2 4 2 4x2x R x 1 R S dx =2π x dx π x +1) dx π x π +4 3 · PDF...
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y = 1 4 x 2 - 1 2 ln x ⇒ dy dx = x 2 - 1 2x ⇒ 1+ dy dx 2 =1+ x 2 4 - 1 2 + 1 4x 2 = x 2 4 + 1 2 + 1 4x 2 = x 2 + 1 2x 2 . So S = 4 1 2πx x 2 + 1 2x 2 dx =2π 4 1 x x 2 + 1 2x dx = π 4 1 (x 2 + 1) dx = π 1 3 x 3 + x 4 1 = π ( 64 3 + 4 ) - ( 1 3 + 1 ) = 24π