The Mean Value Theorem for Integrals & The Average Value of a Function

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Don't remember a darn thing about this -- the last time I looked at this was about 50 years ago. I deal mostly with logs, antilogs, fractions, ratio and proportion, and Quong's magic theorem. It was at the end of the Vietnam War, and a lot of refugees arrived to my town, so I was taking a basic analysis which met every morning 8:30 to 9:00 at UAA (Anchorage, AK). It was erly enough that the kid whose father's business was snowplowing, sometimes went straight from the job to class, and he might fall asleep since he'd been up all night clearing the streets. I got a ride to college from my 17 mile away town, and left my bike at the rectory with Fr Giebel, then either rode it home or got another ride home. Our math instructor had worked for Texas Instruments after retiring from the military. The class was full, and we all had to take turns demonstrating our homework solutions on the chalkboards that wrapped around the room. There was this one guy, Qwan or Quong, that didn't speak much English, but when he started solving math problems with the quadratic formula at opportune moments, the instructor termed it Quong's Magic Formula, and it was a competition to see where its application could next be used.

engletinaknickerbocker

The "easy" part of Calculus is its underlying Geometric character: one can draw pictures to visualize the concepts and theorems.

douglasstrother

Found out about this theorem a few months ago. Extremely useful!

azimuth

Thanks for sharing. That's powerful !

christopheverre

Wow I, ve just learned a new thing in integrals.

vaibhavmaurya

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