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Leibniz integral rule
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Related lectures (28)
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Divergence of Vector Fields
Explores divergence of vector fields, rotational definitions, and integral derivation applications.
Ampère's Law and Magnetic Field Circulation
Explores Ampère's law, magnetic field distribution, and circulation, including Amperian loops and line integrals.
Green's Functions in Laplace Equations
Covers the concept of Green's functions in Laplace equations and their solution construction process.
Differentiating under the integral sign
Explores differentiating under the integral sign and conditions for differentiation, with examples and extensions to functions on open intervals.
Differentiating under the integral sign
Explores differentiating under the integral sign and continuity of functions in integrals.
Multivariable Integral Calculus
Covers multivariable integral calculus, including rectangular cuboids, subdivisions, Douboux sums, Fubini's Theorem, and integration over bounded sets.
Vectorial Fields: Parametrization and Stokes' Theorem
Covers the parametrization of vectorial fields and the application of Stokes' theorem.
Green's Theorem: Transforming Integrals in 2D
Covers Green's Theorem, transforming 2D integrals into 1D line integrals.