MATH 150 - CALCULUS WITH ANALYTIC GEOMETRY I

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NOTES FOR CHAPTER 8

(INVERSE TRIGONOMETRIC AND HYPERBOLIC FUNCTIONS)

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TABLE OF CONTENTS (relevant from Ch.3 on)

BIG FILE: Chapter 8 (handwritten) and Hyperbolic.pdf (8.3 – optional reading)

A BETTER, TYPED PRESENTATION OF SECTION 8.1 MAY BE FOUND IN THE PRECALCULUS NOTES:

Section 4.7 in Larson: Inverse Trig Functions

8.2 SHORTCUT (IN CLASS LECTURE):

On my last example for 8.2, you could have used u = x^2. You would then get:

(1/2) * Integral of (du / (u^2 + 25)), which equals (1/2) * (1/5) * arctan(u/5) + C, which then equals (1/10) * arctan((x^2)/5) + C.

Another approach to arcsin (the first 2 1/2 pages) - interesting!

Arcsin.pdf

Applet for integration review:

http://www.math.ucla.edu/~ronmiech/Java_Applets/index.html

(Click on "Integration Review I, the Chain Rule.")

 

Section 8.1: Inverse Trigonometric Functions

Section 8.2: Derivatives and Integrals

Section 8.3: Hyperbolic Functions

Chapter 8 Notes: 11 pages

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