The curve is
and
;
Find
.

Differentiate on each side with respect to
.



Find
.

Differentiate on each side with respect to
.

Derivative of exponential function:
.

Find
.

If the curve is described by
and
and
, the length of the curve is

Substitute
,
and limits of
.



.
Length of the curve is
units.
The exact length of the curve is
units.