题目
设L为逆时针方向沿椭圆(x^2)/(a^2)+(y^2)/(b^2)=1一周路径,则int_(L)(x+y)dx-(x-y)dy=()A. 2pi abB. pi abC. -2pi abD. 0
设L为逆时针方向沿椭圆$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$一周路径,则$\int_{L}(x+y)dx-(x-y)dy=$()
A. $2\pi ab$
B. $\pi ab$
C. $-2\pi ab$
D. $0$
题目解答
答案
C. $-2\pi ab$