Integrating Composite Functions (Leaving Cert Applied Maths): Flashcards
📚Flashcards
Practise the cards
12 cards from this deck
ShowHide
Practise the cards
12 cards from this deck
Reverse chain rule for integration
Reverse chain rule for integration
Does not exist
Method for integrating composite functions
Method for integrating composite functions
Substitution
Purpose of substitution method
Purpose of substitution method
Transform composite function into simpler form
Most critical step in substitution
Most critical step in substitution
Selecting the right substitution at the beginning
Feature of good substitution choice
Feature of good substitution choice
Derivative of inner function appears naturally in integrand
Two methods for definite integrals with substitution
Two methods for definite integrals with substitution
Change the limits OR substitute back
Result of both definite integral methods
Result of both definite integral methods
Same final answer
Key skill for choosing substitution
Key skill for choosing substitution
Pattern recognition
Usual location of inner function
Usual location of inner function
In brackets, under root, or in denominator
Sometimes needed beyond direct substitution
Sometimes needed beyond direct substitution
Algebraic manipulation
First step in substitution method
First step in substitution method
Identify the inner function