The expression for arc length in parametric form is_________________
(a) \(ds = \int_a^b xy \sqrt{(\frac{dx}{dt})^2 + (\frac{dy}{dt})^2} \,ds \)
(b) \(ds = \int_a^b \sqrt{(\frac{dx}{dt})^2 + (\frac{dy}{dt})^2} \,dt \)
(c) \(ds = \int_a^b \sqrt{(\frac{dx}{dt})^2 + (\frac{dy}{dt})^2} \,dx \)
(d) \(ds = \int_a^b \sqrt{(\frac{dx}{dt})^2 + (\frac{dy}{dt})^2} \)
The question was asked in exam.
Asked question is from Rectification topic in division Integral Calculus of Engineering Mathematics