Question

求原导函数（4-X（2次方））1/2的原导函数1/2次方

Answer 1

y=∫(4-x^2)^(1/2) dx

令x=2sint,

则dx=2costdt

y=∫2cost *2cost dt=∫ (1+cos2t)d(2t)=2t+sint(2t)+c=2arcsin(x/2)+x√[1-(x/2)^2]+c