Question

Example 2 Find the length of the arc of the semi cubical parabola
y? = r extending from the origin to the point (1,1).​

Answer 1

Step-by-step explanation:

You should express y first. y=x3/2. Then

y′=32x1/2

and

∫5/901+y′2−−−−−−√dx=∫5/901+94x−−−−−−√dx=827(1+94x)3/2∣∣∣x=5/9x=0=1927