f(x)=∫√[1-(x-1)²]dx令x-1=sint (-π/2≤t≤π/2)原式=∫[√(1-sin²t)]·costdt=∫cos²tdt=(1/2)t+(1/4)sin2t+c=(1/2)arcsin(x-1)+[(x-1)/2]√[1-(x-1)²]+c