Find the area of the figure bounded by the give... - JAMB Mathematics 2005 Question
Find the area of the figure bounded by the given pair of curves y = x2 - x + 3 and y = 3
A
17/6 units (sq)
B
7/6 units (sq)
C
5/6 units (sq)
D
1/6 units (sq)
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Correct Option: A
Area bounded by
y = x2 - x + 3 and y = 3
x2 - x + 3 = 3
x2 - x = 0
x(x -1) = 0
x= 0 and x = 1
(\int^{1}_{0})(x2 - x + 3)dx = [1/3x3 - 1/2x2 + 3x](^1 _0)
(1/3(1)3 - 1/2(1)2 + 3(1) - (1/3(0)3 - 1/2(0)2 + 3(0))
= (1/3 - 1/2 + 3)- 0
= (\frac{2-3+18}{6})
= 17/6
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