Applications of Integration - Integrals involving Modulus Functions

Applications of Integration - Integrals involving Modulus Functions

Given that \(a > 0\), find \(\displaystyle \displaystyle\int_{0}^{3a} |x^{2} - a^{2}|\) \(dx\) in terms of \(a\).

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Answer:\(\frac{22}{3}a^3\)

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