Question

求这个式子怎么计算

17题

Answer 1

如图所示

追问

是把xy直接带入到xy里面么，不用求定积分么

Answer 2

z=∫(0->xy) e^(-t^2) dt
∂z/∂y= x.e^[-(xy)^2]
∂^2z/∂x∂y
=∂/∂x {∂z/∂y}
= [ 1 + x( - 2xy^2) ] . e^[-(xy)^2]
= ( 1 -2x^2.y^2) . e^[-(xy)^2]