12.求积分int_(C)(1)/(z+2)dz的值,其中C:|z|=1,并由此证明int_(0)^pi(1+2costheta)/(5+4costheta)d
计算积分 int_(C) (x-y+ix^2) , dz,积分路径 C 是连接由 0 到 1+i 的直线段。计算积分 $\int_{C} (x-y+ix^2)
5.12 求下列各积分之值:-|||-(1) (int )_(0)^2pi dfrac (dtheta )(a+cos theta )(agt 1);-|||-
9.计算下列积分:-|||-(1) (int )_(0)^2pi dfrac (1)(5+3sin theta )dtheta ;-|||-(2) (int
5.利用留数计算下列积分.-|||-(3) (int )_(|z|=2)dfrac ({e)^2z}((z+1){(z-1))^2}dz
(1)计算积分int_(c)^ Re(z+3i)dz,其中积分路径C为从原点到点2+3i的直线段.(1)计算积分$\int_{c}^{ }Re(z+3i)dz$
267 累次积分 int_(-(pi)/(2))^(pi)/(2)dxint_(0)^sin x(x^2+ycosx)sqrt(1-y^2)dy=A. $\fr
6.设 ^3-2xz+y=0, 求 a^2z/ax^2, dfrac ({a)^2z}(partial {y)^2}.
设 C: |z+1|=(1)/(2),则 int_(C) (sin frac(pi)/(4) z)(z^2-1) dz=A. $2\pi i$B. $-\fra
5、证明曲线积分I=int_(L)(x^2+2xy)dx+(x^2+y^4)dy与路径无关,其中L是由点(0,0)到(1,1)的曲线y=sin(pi)/(2)x