Actual Arc Length`=\int_{a}^{b}\sqrt{1+\left(f'\left(x\right)\right)^{2}}dx=${E}` left parenthesis, 2.5 , 17 , right parenthesis2.5,17
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29
Total Length of `n` line segments`=`${D} left parenthesis, 2.5 , 15 , right parenthesis2.5,15
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30
31
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Actual Arc Length
equals Start integral from "a" to "b" , end integral, StartRoot, 1 plus left parenthesis, "f" prime left parenthesis, "x" , right parenthesis , right parenthesis squared , EndRoot "d" "x" equals 17.6 2 4 3 2 5=∫ba1+f′x2dx=17.624325