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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, #25 · Calculus · Integrals

If … (equal areas left and right of zero), then … is…

If $\int_{0}^{x} v (t) d t = \int_{0}^{x} v (t) d t$ (equal areas left and right of zero), then $v (x)$ is an ______ function. Take derivatives to prove it.

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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, #25

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