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Evaluate int 2 1 6x2 - 2x dx - JAMB Mathematics 2008 Question

Evaluate (\int ^{2}_{1})(6x2 - 2x)dx

A
16
B
13
C
12
D
11
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Correct Option: D

(\int ^{2}_{1})(6x2 - 2x)dx

= [(\frac{6x^3}{3} - \frac{2x^2}{2})]2

= [2x3 - x2]2

= (2(2)3 - 4 - 2 + 1

= 16 - 4 - 2 + 1

= 17 - 6

= 11

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