The curve is
and the interval is
.
Length of the curve
on the interval
is
.
Find
.
The function is
.
Differentiate the function with respect to
.

.
Substitute
,
and
in
.

Let
, then
.
Boundaries :
\If
, then
.
If
, then
.
Substitute corresponding values in
.

Consider
.
Partial fraction decoposition.
\
Compare
terms.

Compare constant terms.
\
Add equations (2) and (3).
\
Substitute
in equation (2).
.
.
Substitute
in equation (1).


.
Length of the curve
on
is
.