Question

How to find the length of the part of the curve of y=log sec x between the values x=0 and x=pi/3 ?

Answer 1

generically, i recall it being something like this:\[\int \sqrt{dy^2+dx^2}\]

Answer 2

in this case, the dy^2 can be 1 i believe since this is not a partial derivative

Answer 3

the length of the hypot of the right triangle measures the length of the curve.