∫∫sin x / x dx dy

问题描述:

∫∫sin x / x dx dy
D:0≤x≤2
x/2 ≤ y ≤ x

先对y积分,即∫(sin x / x )dx∫dy=∫(sin x / x )*(x-x/2)dx=
=∫(sin x / 2)dx=(1-cos2)/2