(根号4减9x方)分之(1减x)的不定积分,
问题描述:
(根号4减9x方)分之(1减x)的不定积分,
答
∫ (1 - x)/√(4 - 9x²) dxLet x = (2/3)sinz,dx = (2/3)cosz dz√(4 - 9x²) = √(4 - 4sin²z) = 2cosz=> ∫ (1 - (2/3)sinz)/(2cosz) * (2/3)cosz dz= (1/3)∫ (1 - (2/3)sinz) dz= (1/3)∫ dz - (2...