Originally Posted by

**alexandrabel90** how do you solve these questions:

1. find the arc length of Y^3= 8X^2 from x=1 and x=8.

my working: ( i know how to form the equation for intergration but i do not know how to carry out the intergration)

differenciating the qns, i got 3y^2 (dy/dx) = 3/4 X ^(1/3)

then i would like to intergrate ( 1 + (9/16 X ^(2/3)))^(1/2) dx from x=8 to x=1.

but im stuck now..how do i perform intergration on this equation?

2.find the arc length of 6xy = x^4 + 3

by implicit differentiation, i got

(dy/dx)^2 = ( 5/6x^2 + 1/ (2x^2))^2

and then i would have to perform intergration on

(1+ (dy/dx)^2 ) ^(1/2) from x= 2 to x= 1...

but i am stuck as to how i should carry out the intergration.

thank you!