Students review four strategies for integrating more complex functions in which the chain is not present in the integrand: composite functions, trig functions with multiple arguments, binomials, and functions with extra x’s not part of the chain. I am not a fan of u-substitution in the simple compositions that can be antidifferentiated by compensating with a constant; however, there is a definite integral example with a more complicated integrand that must be worked using u-sub.
My students encounter this concept in the Larsen Calculus textbook in Ch. 4 on Integration after they learn simple antiderivatives and definite integral sums thus the numbering 4-3. The examples do not involve the transcendental functions which are introduced in a later chapter in Larson Calculus.
This foldable can be used alone or glued into an Interactive Notebook. Hope this is helpful. Enjoy!
Other foldables related to the Integration chapter:
Calculus Foldable 4-1: Simple Antiderivative Rules
Calculus Foldable 4-2: Integral as Area
Calculus Foldable 4-4: Fundamental Theorems of Calculus
Calculus Foldable 4-5: Mean Value Theorems of Calculus
Table of Contents for the Integration chapter:
Calculus Interactive Notebook 4: Integration