如图
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
