As the school year wound down we got closer and closer to our final
exams. With introductory exams also being squeezed into our schedule,
the final third of our year became extremely jam-packed and teachers
rushed to cover all the necessary material. As a result for many of our
classes we shared a classroom with other seniors in order to utilize
both periods for both classes and hence tackle twice as many topics.
While we had learned differentiation the previous year, integration was
only introduced during a compact 3rd marking period. As Mr. Ghamisi
surveyed the 60+ students before him, he explained that what we were
about to face was the exact opposite of differentiation. “You all know
how to find the derivative of a function,” he started. “Now you’ll be
given a derivative and you’ll find what the original function was.
“Your book is kind of confusing. In some parts of it they refer to the
original functions as antiderivatives while in other parts they call
them indefinite integrals. Even though these are two different names but
they actually refer to the exact same thing. It’s like these hicks
whose names back in their village is Hasan Ali Jafar but as soon as they
set foot in Tehran they demand that they be called Zizi.”
He waited for our laughter to die down before adding, “Well I know Hasan
Ali Jafar probably isn’t today’s most popular name but still that’s no
reason to go to such extremes.”
It had taken a couple of weeks of negotiation but Joe finally got the deal he wanted and drove out of the dealership in his brand new Explorer. His girlfriend knew his real motivation for buying a utility vehicle was because he loved to go four-wheeling on Saturdays with his friends and felt a little conspicuous when he was always doing the "riding" and never the driving. Joe arrived and ran into her house as excited as a nine-year-old boy with his first bicycle. Mary was working at her computer as Joe came up behind her, gave her a big kiss on the cheek and said, "C'mon, c'mon, let's go! Let's go for a ride." They jumped into the Explorer and headed out of town. After a few minutes, Joe pulled over to the side of the road and invited Mary to drive. She got behind the wheel and found that she really enjoyed the sensation of sitting up so high with a great view of everything ahead of her. Joe instructed, "Hang a left here" and as Mary follow...
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