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  2. Leibniz integral rule - Wikipedia

    en.wikipedia.org/wiki/Leibniz_integral_rule

    In calculus, the Leibniz integral rule for differentiation under the integral sign, named after Gottfried Wilhelm Leibniz, states that for an integral of the form () (,), where < (), < and the integrands are functions dependent on , the derivative of this integral is expressible as (() (,)) = (, ()) (, ()) + () (,) where the partial derivative indicates that inside the integral, only the ...

  3. General Leibniz rule - Wikipedia

    en.wikipedia.org/wiki/General_Leibniz_rule

    The proof of the general Leibniz rule [2]: 68–69 proceeds by induction. Let f {\displaystyle f} and g {\displaystyle g} be n {\displaystyle n} -times differentiable functions. The base case when n = 1 {\displaystyle n=1} claims that: ( f g ) ′ = f ′ g + f g ′ , {\displaystyle (fg)'=f'g+fg',} which is the usual product rule and is known ...

  4. Reynolds transport theorem - Wikipedia

    en.wikipedia.org/wiki/Reynolds_transport_theorem

    Reynolds transport theorem can be expressed as follows: [1] [2] [3] = + () in which n(x,t) is the outward-pointing unit normal vector, x is a point in the region and is the variable of integration, dV and dA are volume and surface elements at x, and v b (x,t) is the velocity of the area element (not the flow velocity).

  5. List of calculus topics - Wikipedia

    en.wikipedia.org/wiki/List_of_calculus_topics

    Sum rule in integration; Constant factor rule in integration; Linearity of integration; Arbitrary constant of integration; Cavalieri's quadrature formula; Fundamental theorem of calculus; Integration by parts; Inverse chain rule method; Integration by substitution. Tangent half-angle substitution; Differentiation under the integral sign ...

  6. Leibniz's rule - Wikipedia

    en.wikipedia.org/wiki/Leibniz's_rule

    Leibniz's rule (named after Gottfried Wilhelm Leibniz) may refer to one of the following: Product rule in differential calculus; General Leibniz rule, a generalization of the product rule; Leibniz integral rule; The alternating series test, also called Leibniz's rule

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    Pete Hegseth’s name has been submitted to the FBI for a background check, his attorney told CNN Thursday, as some lawmakers call for more vetting of President-elect Donald Trump’s pick to run ...

  8. Category:Theorems in calculus - Wikipedia

    en.wikipedia.org/wiki/Category:Theorems_in_calculus

    General Leibniz rule; ... Integration by parts; Integration using Euler's formula; Intermediate value theorem; Inverse function rule;

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    In addition to the bit of stunt casting (Hadid has recently joined the cowgirl fray herself), the two also happened to spend their screen time playing strip poker with “half-naked women” at a ...

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