Integrating Composite Functions (Leaving Cert Applied Maths): Flashcards

No reverse chain rule exists for integration

Transform composite functions into simpler integrable forms

Identify the inner function

Selecting the right substitution at the start

Its derivative appears naturally in the integrand

Change limits or substitute back at end

Both give same final answer

Pattern recognition

Inside brackets, under root, or in denominator

Algebraic manipulation

Differential of $u$ in terms of $dx$

$\ln u$