Question

Find the arc length of x=(y-1)^3/2 from the point (0,1) to (8,5) give an exact answer.
I have been stuck on this question for two days cans someone please help.
You know that
s = ∫ √(1 + x'^2) dy
so that would be
∫[1,5]√(1 + (3/2 √(y-1))^2) dy
= ∫[1,5]√(1 + 9/4 (y-1)) dy
= 1/2 ∫[1,5]√(9y-5) dy = 8/27 (10√10 - 1)

Related Questions

find the exact length of this curve: y = ( x^3/6 ) + ( 1/2x ) 1/2 <or= x <or= 1 im looki... Harvey has 3 pets. On Monday she uses d cans of pet food. On Tuesday she used 6 cans and wed thurs... Sam has 3 pets. Monday she uses d cans of pet food. Tuesday she uses 6 cans Wednesday Thursday... PLEASE HELP In the triangle, the length of side b is 7 the m∠A=60°. Find the exact lengths of a a...