Correct Answer: Option D

Explanation

\(\int_{1}^{3}(x^2\) - 1)dx

= \(\left[\frac{1}{3}x^3 - x\right] ^{3}_{1}\)

 = (9-3) - \(\frac{1}{3}-1)\) 

= 6 - \(\left(-\frac{2}{3}\right)\)

 = 6+\(\frac{2}{3}\) =6\(\frac{2}{3}\)

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