題目 Problem 三、計算題（占 18 分） (8 分) Show that the line integral ∫C2xsin(y) dx+(x2cos(y)−3y2) dy\int_C 2x\sin(y)\,\mathrm{d}x+(x^2\cos(y)-3y^2)\,\mathrm{d}y∫C2xsin(y)dx+(x2cos(y)−3y2)dy is independent of path and evaluate the given integral for any path from (2,π/6)(2,\pi/6)(2,π/6) to (0,−2)(0,-2)(0,−2). 解答
