设L是曲线y=x3与直线y=x所围成区域的整个边界曲线,f(x,y)是连续函数,则曲线积分∫Lf(x,y)ds=()
A.∫01f(x,x3)dx+∫01f(x,x)dx B.∫01f(x,x3)dx+∫01f(x,x)√2dx C.∫01(x,x3)•√1+9x4dx+∫01f(x,x)√2dx D.∫-11[f(x,x3)√1+9x4+f(x,x)√2]dx正确答案D
设L是曲线y=x3与直线y=x所围成区域的整个边界曲线,f(x,y)是连续函数,则曲线积分∫Lf(x,y)ds=()
A.∫01f(x,x3)dx+∫01f(x,x)dx B.∫01f(x,x3)dx+∫01f(x,x)√2dx C.∫01(x,x3)•√1+9x4dx+∫01f(x,x)√2dx D.∫-11[f(x,x3)√1+9x4+f(x,x)√2]dx正确答案D