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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.7 The Fundamental Theorem and Its Applications, #31 · Calculus · Integrals

The cube … has volume … ______

The cube $0 \leq x, y, z \leq s$ has volume $V =$ ______. The three square faces with $x = s$ or $y = s$ or $z = s$ have total area $A =$ ______. If $s$ is increased by $Δ s$ , the extra volume has the shape of ______. That volume $Δ V$ is approximately ______. So $d V / d s =$ ______.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.7 The Fundamental Theorem and Its Applications, #31

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