ARC LENGTH AND SURFACE AREA

Question

Find the length of the curve defined by y=4x^(3/2)-5 from x=5 and x=7.

Answer 1

y' = 6x^1/2;

So, length of arc L= ∫₅⁷√(1 + 36x)dx = 1/36·2/3(1 + 36x)^3/2₅⁷ = 1/54(253^3/2 - 181^3/2) = 29.428