Question on: JAMB Mathematics - 2004
Evaluate \(\int_{1}^{3}(X^2 - 1)dx\)
A
\(\frac{2}{3}\)
B
\(-\frac{2}{3}\)
C
\(-6\frac{2}{3}\)
D
\(6\frac{2}{3}\)
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Correct Option: D
\(\int_{1}^{3}(x^2 - 1)dx=\left[\frac{1}{3}x^2 - x\right] ^{3}_{1}\=(9-3)-(\frac{1}{3}-1)\=6-\left(-\frac{2}{3}\right)\=6+\frac{2}{3}=6\frac{2}{3}\)
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