Find the arc length of the curve below on the given interval by integrating with respect to x. y=2x^(3/2); [0, 1]

The arc length of over [0, 1] is given by the integral,

Differentiate y with respect to x using the power rule:

Then the integral becomes

Substitute u = 1 + 9x and du = 9 dx :

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25