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Examples of substitution for trig functions

TYPES2025 - 1.10. Ana Jorge Almeida - Expansion in a Calculus with Explicit Substitutions

Syntax with Shifted Names

5. Antiderivative Notation and U-Substitution

Integral of (x-1)e^((x-1)^2) :: U Substitution :: Explicit Substitution

Henry DeYoung and Klaas Pruiksma: Semi-Axiomatic Sequent Calculus (FSCD A)

Integral e^(2x)*sqrt(1-e^(2x)) using the chain rule backwards vs. explicit substitution approach.

How To Integrate Using U-Substitution

Reverse Chain Rule (3 of 3: By explicit substitution)

Integration by substitution (visualised)

Admissibility of Substitution for Multimode Type Theory - Joris Ceulemans
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Last Updated: August 16, 2026
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