求不定积分∫x根号1-x^2dx

问题描述:

求不定积分∫x根号1-x^2dx

=-1/2 ∫ √(1-x^2)d(1-x^2)
=-1/2×2/3 √(1-x^2)^3 +C
=-1/3√(1-x^2)^3 +C