Evaluate int 1 -1 2x 1 2dx - JAMB Mathematics 1994 Question
Evaluate (\int^{1}_{-1})(2x + 1)2dx
A
3\(\frac{2}{3}\)
B
4
C
4\(\frac{1}{3}\)
D
4\(\frac{2}{3}\)
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Correct Option: D
(\int^{1}_{-1})(2x + 1)2dx
= (\int^{1}_{-1})(4x2 + 4x + 1)dx
= (\int^{1}_{-1})[(\frac{4x^3}{3}) + 2x2 + c]
= [(\frac{4}{3}) + 3 + c] - [4 + (\frac{1}{3}) + c]
= (\frac{8}{3}) + 3 + -1 - C
= (\frac{8}{3}) + 2
= (\frac{14}{3})
= (\frac{42}{3})
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