∫x√(1-x∧2)dx

2025-04-13 10:42:48
推荐回答(1个)
回答1:

凑微分法
∫x/√(1-x^2)dx =-1/2∫d(1-x^2)/√(1-x^2)
=-1/2∫[(1-x^2)^(-1/2)]d(1-x^2)
=-1/2*2*(1-x^2)^(1/2)+C
= -√(1-x^2)+C