Integral Change of Variable Formula

Related lectures (30)

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Covers the integration of limit expansions and continuous functions by pieces.

Explores the integral part of the Fundamental Theorem of Analysis with examples like y = cos(x).

Explores the change of variable formula for integrals and its applications.

Explores differentiating under the integral sign and continuity of functions in integrals.

Covers deriving integrals with parameters and their derivatives, including special cases and proofs.

Covers the calculation of angles between curves on regular surfaces and the concept of curvilinear abscissa.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Demonstrates the practical importance of the fundamental theorem of calculus through a detailed example.

Explores Fubini's Theorem for multiple integrals, emphasizing the n=2 case.

Explores differentiating under the integral sign and conditions for differentiation, with examples and extensions to functions on open intervals.