In Exercises 1-6, identify \(u\) and \(d v\) for finding the integral using integration by parts. (Do not evaluate the integral.)
\(\int x \sec ^{2} x d x\)
Text Transcription:
u
dv
int x sec ^{2} x dx
8/26- Econ 2101: Ch. 2 Notes Definitions: Economics: A social science in how limited resources (scarcity) and unlimited human wants forces us to make choices and trade-offs o Social: All about the people; human behavior/interactions o Science: Investigating theories and hypothesis; proving whether or not false o Limited Resources: Things are available in finite quantities o Unlimited human wants: we always want more stuff o Trade-Offs: In order to have more of one thing, you must give up another (sacrifice) Microeconomics: The choices of individuals ; resources include wealth/time Macroeconomic Resources: Aggregate choices (the sum/total of many choices) o Main Three: Land: Soil, freshwater, oil, gold = natural resources Labor: Human skills or human capital Capital: NOT MONEY! It’s machinery, factories, tools and equipment; “Things used to make other things” o Additional Resources: Technology: Ways to improve/combine land, labor, capital Entrepreneurship: Risk-takers in business; create new ways of combining land, labor, and capital. Examples are Steve jobs, John Rockefeller, Andrew Carnegie. Opportunity Cost: The next best alternative use of a resource; must be forgone to have more of something else. o Refer to the idea of “no free lunch”. Example, your parents come int
