Find the area bounded by the curves y = 4 - x2 and y = 2x + 1

Assessment: JAMB UTME - Mathematics - 2001 Subject: General Mathematics

Question 1 Report

Find the area bounded by the curves y = 4 - x2 and y = 2x + 1
Answer Details
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)

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