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Calculating the length of a curve.

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Find the length of the curve y=e^-x, 0<_x<_1

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Solution Summary

The length of a curve is calculated.

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By definition length of curve:

l = integration(0,1) [sqrt{ 1 + (dy/dx)^2}] dx
here dy/dx = - e^(-x)
=> l= integ(0,1)[ sqrt{1 + {-e^(-x)}^2}] dx
=> l = int(0,1) [sqrt{1 + e^(-2x)}] ...

Solution provided by:
Amrit Lal Ahuja, PhD (IP)
Education
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
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