问题标题:
∫(x-1)/√(9-4x^2)dx不定积分
问题描述:
∫(x-1)/√(9-4x^2)dx不定积分
匡全回答:
∫(x-1)/√(9-4x^2)dx
=∫x/√(9-4x^2)dx-∫1/√(9-4x^2)dx
=-1/8*∫1/√(9-4x^2)d(9-4x^2)-0.5*∫1/√[1-(2x/3)^2]d(2x/3)
=-1/4*√(9-4x^2)-0.5*arcsin(2x/3)+C,C为常数
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