Question
Parametric arc length?
I don't understand the part where the integral bounds switch to arctan. Why is this necessary?
The red marks mean "1" since the bounds are
Answers
see explanation (thanks to Steve M.)
Explanation:
#\int_0^\color(blue)(1)\sqrt(1+\color(red)(t^2))\color(olive)(dt)#
#\int_0^\arctan(\color(blue)(1))\sqrt(1+\color(red)(\tan^2\theta))\color(olive)(\sec^2\thetad\theta)#
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