Evaluate int 1 3 X 2 - 1 dx - JAMB Mathematics 2004 Question
Evaluate \(\int_{1}^{3}(X^2 - 1)dx\)
A
\(\frac{2}{3}\)
B
\(-\frac{2}{3}\)
C
\(-6\frac{2}{3}\)
D
\(6\frac{2}{3}\)
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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