∫xe^xydxdy怎么求,0≤X≤1,-1≤y≤0

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/17 16:32:20
∫xe^xydxdy怎么求,0≤X≤1,-1≤y≤0∫xe^xydxdy怎么求,0≤X≤1,-1≤y≤0∫xe^xydxdy怎么求,0≤X≤1,-1≤y≤0∫∫xe^(xy)dxdy先积y=∫[0→1

∫xe^xydxdy怎么求,0≤X≤1,-1≤y≤0
∫xe^xydxdy怎么求,0≤X≤1,-1≤y≤0

∫xe^xydxdy怎么求,0≤X≤1,-1≤y≤0
∫∫ xe^(xy) dxdy
先积y
=∫[0→1]dx∫[-1→0] xe^(xy) dy
=∫[0→1]dx∫[-1→0] e^(xy) d(xy)
=∫[0→1] e^(xy) |[-1→0] dx
=∫[0→1] (1 - e^(-x) dx
=x + e^(-x) |[0→1]
=1 + 1/e - 1
=1/e
希望可以帮到你,如果解决了问题,请点下面的"选为满意回答"按钮,