计算对弧长的曲线积分fc[1/(x-y)]ds,其中C为从点A(0,-2)到点B(4,0)的线段.
AB方程:y=1/2-2 ∴fc[1/(x-y)]ds=∫041/[(1/2)x+2]√1+(1/2)2dx =√5ln(x+4)∣04=√5ln2
计算对弧长的曲线积分fc[1/(x-y)]ds,其中C为从点A(0,-2)到点B(4,0)的线段.
AB方程:y=1/2-2 ∴fc[1/(x-y)]ds=∫041/[(1/2)x+2]√1+(1/2)2dx =√5ln(x+4)∣04=√5ln2