In: Math
Consider the spiral path x(t) = (cos^2t,sin^2t,t) for 0 ≤ t ≤ π/2. Evaluate the integral x dx−y dy + z^2 dz
By parametrization, we will evaluate the line Integral where the parametric equations of the spiral path are
x(t)= Cos2(2t) , y(t)= sin 2(2t) and z(t)= t with .
The step by step explanatory solution is provided below.