利用极坐标系计算二重积分 △a1=Gr+△)·△6 2 r:·△ 6=6.+△6 r+△ (2r1+△r)△r·△6 △o r+(r2+△ △r:△ 2 F·Ar·△日, A fs(x, y)dxdy=f(rcos B, rsin O)rdrd@A o D i i r = r i i r = r + r = i + i = i i i i i i i = r + r − r 2 2 2 1 ( ) 2 1 i i i i = (2r + r )r 2 1 i i i i i r r r r + + = 2 ( ) , i i i = r r ( , ) ( cos , sin ) . = D D f x y dxdy f r r rdrd 三、利用极坐标系计算二重积分