Local Maximum and Local Minimum of a Definite Integral Function (Accumulation Function)

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This video provides an example of how to determine when a definite integral function would have local maximums or local minimums.
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I think this is wrong. x = 1, x = 3, x = 5 are points of inflection, no?

quantum_psi
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I finally understand this now thank you so much

dananavarro