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Lecture 9 – Integration Basics

Lecture 9 – Integration Basics. A few (very few) examples:. Functions – know their shapes and properties. Trigonometric Rules. Know basics about sine, cosine, tangent, secant, plus 2 right triangles. Beyond these angles:. and use reference angles for all quadrants. Substitution Rule.

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Lecture 9 – Integration Basics

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

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

  3. 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?

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

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

  6. Ex.4 What antiderivative for secant function?

  7. Ex.5

  8. Need to try a different 1.

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