How to differentiate under the integral sign using matrix manipulation
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The most general form of differentiation under the integral sign states that: if f ( x , t ) f(x,t) f(x,t) is a continuous and continuously differentiable (i.e., partial derivatives exist and are themselves continuous) function and the limits of integration a ( x ) a(x) a(x) and b ( x ) b(x) b(x) are continuous and
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