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/Topic 4 Integration - Coggle Diagram
/Topic 4 Integration
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Tabular Integration:
Used when u(x) can be differentiated repeatedly to become zero and dv can be integrated repeatedly without difficulty
example:
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Substitution Rule: Substitution involves replacing a variable in the integral with a new expression to simplify the integration process. The substitution rule incorporates both the original and the new expressions.
Integration by Parts: Integration by parts is a technique for integrating the product of two functions. The formula involves the product of two functions and their respective derivatives and antiderivatives.
Definition of Indefinite Integral
Indefinite integral is a way of determining the antiderivative or undoing the process of finding the original function from its derivative. Put more simply, it entails discovering a function whose derivative matches a given function. The outcome of an indefinite integral typically includes a constant term to account for the existence of multiple functions that share the same derivative.