(2(x)f(x, y)dyA(x) =(a≤x≤b)Jq(x)6JJ f(x, y)dxdy =V =/A(x) dxJaD(x)-f(x, y)dyl dxag(xrb(92(x)dxf(x,y)dyag(x)
02(x[J f(x, y)dxdy -f(x,y)dydxg(x)Dy=P(x)第一次积分中将x视为常数y=q(x)对积分(偏积分)a
cytd, ii(y)xi,(y)如果积分区域为:[Y一型]Ux=j()x=jl()DDx=i2(y)x=j2(y)nY型区域的特点:穿过区域且平行于x轴的直线与区域边界相交不多于两个交点
如果积分区域为: [Y-型] Y型区域的特点:穿过区域且平行于x 轴的直 线与区域边界相交不多于两个交点
z= f(x,y)42()A(y) =f(x,y)dxy)Vdx=y(y)x=y2(y)工
z= f(x,y)2y=yA(y)= Jw f(x,dxKy视为常数xy(y)y,(y)