这道二重积分怎么算?

2025-06-26 10:14:17
推荐回答(1个)
回答1:

∫∫D xdxdy
=∫(0,1) xdx∫(x²,x) dy
=∫(0,1) x(x-x²)dx
=∫(0,1) (x²-x³)dx
=(1/3 x³- 1/4 x^4)|(0,1)
=1/3-1/4
=1/12