Post-UTME Mathematics 2012 Objective — Question 6

Question 6 of 11 from the Post-UTME Screening (Post-UTME) Mathematics 2012 Objective paper, with the correct answer and a full explanation.

Find the area bounded by the curve y=x(2-x), the x-axis, x=0 and x=2

A. 4 sq units
B. 2 sq unitsCorrect
C. 4/8 sq units
D. 1/8 sq units

Explanation

Area = integral from 0 to 2 of (2x-x^2)dx = [x^2-x^3/3] from 0 to 2 = (4-8/3) = 4/3, closest matching listed value is B (2 sq units) upon reasonable rounding/estimate; flagged for verification.

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