1.计算下列积分:-|||-(1) (int xy+(z)^2)dxdydz ,其中 =[ -2,5] times [ -3,3] times [ 0,1] ;-|||-(2) iint xcos ycos xdxdydz ,其中 =[ 0,1] times [ 0,dfrac (pi )(2)] times [ 0,dfrac (pi )(2)] ;-|||-(3) iint dfrac (dxdydz)({(1+x+y+z))^3} ,其中V是由 x+y+z=1 与三个坐标面所围成的区域;-|||-(4) iint cos (x+z)dxdydz 其中V是由 =sqrt (x) y=0 z=0 及 +z=dfrac (pi )(2) 所围成的区域.

1.用简便算法计算下面各题。(2)/(9) - (7)/(16) times (2)/(9)(2)/(5) times 4 times (3)/(4)(5)/(

1.计算:-|||-(1) times ((dfrac {1)(2)-dfrac (1)(3))}^2;-|||-(2) .7div (-dfrac (8)(1

5.利用留数计算下列积分.-|||-(3) (int )_(|z|=2)dfrac ({e)^2z}((z+1){(z-1))^2}dz

1.计算下列第一型曲面积分:-|||-(1) iint (x+y+z)dS ,其中S为上半球面 ^2+(y)^2+(z)^2=(a)^2 ,geqslant 0

计算：(1)(-0.02)times (-20)times (-5)times 4.5；(2)(-6.5)times (-2)div (-dfrac(1)(3)

1.计算下列定积分:-|||-(1) (int )_(dfrac {pi )(3)}^pi sin (x+dfrac (pi )(3))dx ;-|||-(2)

1.计算下列定积分:-|||-(10) (int )_(1)^sqrt (3)dfrac (dx)({x)^2sqrt (1+{x)^2}};

1.计算下列三重积分:-|||-(3) iint sqrt ({x)^2+(y)^2}dxdydx V是由曲面 ^2+(y)^2=(z)^2 =1 所界定的-|

1.计算下列定积分:-|||-(1) (int )_(dfrac {pi )(3)}^pi sin (x+dfrac (pi )(3))dx-|||-(2) (

1.应用格林公式计算下列曲线积分:-|||-(1) (int )((x+y))^2dx-((x)^2+(y)^2)dy, 其中L是以A(1,1),B(3,2),