arc length =INT sqrt(1 + (dy/dx )^2 dx)
dy dx for 3x^(3/2) -1 = (9/2) x ^(1/2)
so arc length = INT (sqrt ( 1 + (9/2 x^(1/2))^2 ) dx between x = 0 and 1
= INT sqrt (1 + 81x/4 ) ) dx
= (1/243) (81x + 4)^(3/2)
between the limits 1 and 0 this is
(1/243) (81 + 4)^(3/2) - (1/243) ( 4) ^3/2
= 3.19
arc length = 3.19 to nearest hundredth
