Find the area bounded by the curves y 4 - x2 an... - JAMB Mathematics 2001 Question
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 option: d
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)
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)
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