A curve is defined piecewise by Piece A Piece B Compute the total length of the curve…

MATHEMATICS · Subjective · AP · Calculus BC · Applications of Integration · Applications of Integration

Problem

A curve is defined piecewise by Piece A

(1 \le t \le e): \; x = t, \; y = \ln t

Piece B

(e \le t \le e+3): \; x = e, \; y = 1 + (t-e)^{2}

Compute the total length of the curve from

t = 1

t = e + 3