Calculus 2: Ch 18 Arc Length (of Curves) (11 of 18) Example 7 cosh(x)

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We will find the arc length on the function y=coshx on the interval [1,ln2].

Title: Calculus 2: Ch 18 Arc Length (of Curves) (12 of 18) Example 8 Logarithmic Function

Title: Calculus 2: Ch 18 Arc Length (of Curves) (10 of 18) Example 6 Circle
  1. Michel van Biezen
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Комментарии
Автор

'e' is a wonderful small little unit that compacts like no other number

abdonecbishop
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Sir, at 5:27 you have already gotten the (e^x - e^-x)/2 which is the sinh(x) function. Done! Plugging the upper and the lower limits into this sinh(x) will give the answer without going into the e's.

ankidokolo
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It's just L = Sinh (Sqrt(2)) - Sinh(1) = 0.759865629, which is only a few key strokes on a calculator. (the mess of e functions works out to the same value; but isn't as direct.

willthecat
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From about 7:00 on, looks like the sun is setting. 🌞

comicrelief
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I wish I understood maths at school. I watched this right through, and my head just exploded.

MickHealey