※ 引述《wadeinthe (周伟德)》之铭言:
: 积分做起来卡卡的,不知有没有高手肯出手相救
: https://i.imgur.com/LNJrnQP.jpg
: 计算过程有误吗?
(d/dx)sec(x + y^2) + [d/d(x + y^2)]sec(x + y^2) * [(d/dx)(x + y^2) - 1]
+ sqrt(y)dy/dx = 0
=> (d/dx)sec(x + y^2) + (d/x)(2/3)y^(3/2) = 0
=> sec(x + y^2) + (2/3)y^(3/2) = c