作业帮高数题,
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/04 02:59:31
高数题,
高数题,
高数题,
ds=√(1+(dx/dy)^2)dy
=√(1+(1/4)(y-1/y)^2)dy
=√(1+(1/4)(y^2+1/y^2-2))dy
=√((1/4)(y^2+1/y^2+2))dy
=(1/2)√(y+1/y)^2dy
=(1/2)(y+1/y)dy
则：s=∫[1-->e] (1/2)(y+1/y) dy
=(1/4)*y^2+(1/2)*lny | [1-->e]
=(1/4)(e^2-1)+1/2