Evaluate the line integral C . dr for the following functions w and oriented curves C in two ways. a. Use a parametric description

Evaluate the line integral ∫_C ∇φ. dr for the following functions w and oriented curves C in two ways.

a. Use a parametric description of C and evaluate the integral directly.

b. Use the Fundamental Theorem for line integrals.

p(x, y) = xy; C: r(t) = (cos t, sin t), for 0 t T