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Exercise 1
Math Animated™
Mathematical Introduction for Physics and Engineering
by Samuel Dagan (Copyright © 2007-2020)
Chapter 2: Integration; Section 2: Definite Integrals; page 4
Geometrical Applications, Exercise 1
Question
Calculate the length of the curve
where b is a positive constant.
Reminder
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(2.2.4.3)
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where a and b are the beginning and end points respectively, of the x interval.
Parts
- According to (2.2.4.3), the required length of the curve is
- The derivative of the curve should be calculated
- and substituted in the expression of part 1:
-
-
-
- and finally
Score
Parts 4,5,7 are worth 2 points each.
Parts 1,2,3,6 are worth 1 point each