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If the area of the region bounded by the curves y = 4 - x24 and y = x-42 is equal to , then 6 equals
(2) 250
Points of intersection: 4 - x24 = x-42
16 - x2 = 2x - 8 x2 + 2x - 24 = 0 x = -6, 4
Between them the parabola lies above the line.
= -64 [ (4 - x24 ) - x-42 ] dx = -64 (6 - x2 - x24 ) dx
= [6x - x24 - x312 ]-64
= (24 - 4 - 163 ) - (-36 - 9 + 18)
= 443 + 27 = 1253
6 = 250
Answer: (2)
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