1含参量正常积分 f(t)dt f(t)dt-f(r)dt f(e)dt-f(t)dt =f(1)·h-f(2)·h,x≤1≤x+h,a≤与2≤a+h 当h→0,1→x,2→a,所以 [(+)-(2)=(r(6)k-r(2)k f(c)-f( 9.设F(x,y) (x-yz)f(z)dz,其中f(z)为可微函数,求 F Af F2(c,y)=f(z)dx+(x-ry2)f(ry)y f(z)dz+ ry(1-y2)f(ry) (x,y)=f(xy)·x+f( ), +x(1-y2)f(xy) 2ry f(ry)+xy(1-y)f(ry) (2x-3y32)f(xy)+f(x)+x2y(1-y2)f(xy) 10.设E(k)=√1-k2sn2gdq d 其中0<k<1(这两个积分称为完全椭圆积分) (1)试求E(k)与F(k)的导数,并以E(k)与F(k)表示它们; (2)证明E(k)满足方程 (k)+1E()+E(2=0