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
.