求(1-x)/(9-4x^2)^(1/2）的不定积分
问题描述：
求(1-x)/(9-4x^2)^(1/2）的不定积分
请诸位数学高手出手相助
答
(1-x)\(9-4x^2)^(1\2)
=1\2(9\4-x^2)^(1\2)-x\(9-4x^2)^(1\2)
∫(1-x)dx\(9-4x^2)^(1\2)
=(1\2)*arcsin(2x\3)+(1\4)*(9-4x^2)^(1\2)+C