Lecture 9 – Integration Basics Functions – know their shapes and properties 1 A few (very few) examples:

Trigonometric Rules Know basics about sine, cosine, tangent, secant, plus 2 right triangles 2 Beyond these angles: and use reference angles for all quadrants.

Substitution Rule First approach for any integral should be a u-substitution. Ex. 1 Which (if any) of the following can use a basic u-substitution? 3

Ex. 2 Which (if any) of the following can use a basic u-substitution? 4

Know derivatives for trig functions. Ex. 3 But what about antiderivatives? 5

Ex.4 What antiderivative for secant function? 6

7 Ex.5

8 Need to try a different 1.