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Answers for “为什么在计算长方体体积的三重积分中,被积函数隐式为 1?”

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When computing volume, the integrand is implicitly 1 because the goal is to sum the infinitesimal volume elements dVdV over the entire region. The triple integral ∫∫∫1 dV\int\int\int 1 \, dV accumulates these small volumes to find the total volume.

Conditions: The integral is being used to compute volume.; The differential element is written without an additional function factor.