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Question Number 116737 by Eric002 last updated on 06/Oct/20
find the lenght of the function y=sinx   for 0<x<π
$${find}\:{the}\:{lenght}\:{of}\:{the}\:{function}\:{y}={sinx}\: \\ $$$${for}\:\mathrm{0}<{x}<\pi \\ $$$$ \\ $$
Answered by Rio Michael last updated on 06/Oct/20
L = ∫_a ^b (√(1 + ((dy/dx))^2 )) dx
$${L}\:=\:\int_{{a}} ^{{b}} \sqrt{\mathrm{1}\:+\:\left(\frac{{dy}}{{dx}}\right)^{\mathrm{2}} }\:{dx} \\ $$

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