Casio ClassPad II Custom Commands

arcLenv(r, t, a, b)

• r is a vector in terms of t
• t is a variable name
• a is the t-value of the starting point
• b is the t-value of the ending point

Returns the arc length of r between t = a and t = b.

Example

Find the arc length of the curve described by \(x = 2 \cos(t) + 2\) and \(y = (e-2) \sin(t)\), between \(t = \dfrac{\pi}{2}\) and \(t = \pi\). (2023 Specialist Exam 2 Section B Question 1f)

Contributed by Nathan Chen