2001
Mathematics
JAMB
Find the area bounded by the curves y = 4 - x2 and y = 2x + 1
A.
20(1/3) sq. units
B.
20(2/3) sq. units
C.
10(2/3) sq. units
D.
10(1/3) sq. units
Correct Answer: 10(1/3) sq. units
Explanation
Hint: y = 4 - x2 and y = 2x + 1 => 4 - x2 = 2x + 1 => x2 + 2x - 3 = 0 (x+3)(x-1) = 0 thus x = -3 or x = 1. Integrating x2 + 2x - 3 from (-3, to 1) w.r.t x will give 31/3 = 10(1/3)
Hint: y = 4 - x2 and y = 2x + 1 => 4 - x2 = 2x + 1 => x2 + 2x - 3 = 0 (x+3)(x-1) = 0 thus x = -3 or x = 1. Integrating x2 + 2x - 3 from (-3, to 1) w.r.t x will give 31/3 = 10(1/3)THIS WEEK's
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