"Area and Arc Length of Parabolic Segment
'<hr /><div style="max-width:120mm;"><img style="height:60pt;" class="side" alt="parabola.png" src="https://calcpad.eu/media/math/area/parabola.png"></div>
'Dimensions
'Length -'a = ?
'Height -'b = ?
'Area
A = 2/3*a*b
'Arc length
'Assume'h = 4*b/a
'and'q = sqr(1 + h^2)
S = 0.5*a*(q + ln(h + q)/h)
'4	2