大一高数不定积分 这一步开始 后面的都没看懂，有人可以解释一下吗 10
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let
u = 1- x^(3/2)
du = -(3/2)x^(1/2) du
∫ x^(1/2)/[ 1- x^(3/2)]^(1/2) dx
=-(2/3) ∫ d [1- x^(3/2) ]/[ 1- x^(3/2)]^(1/2)
=-(2/3) ∫ du /u^(1/2)
=-(4/3) u^(1/2) + C
=-(4/3) [ 1- x^(3/2)]^(1/2) + C
u = 1- x^(3/2)
du = -(3/2)x^(1/2) du
∫ x^(1/2)/[ 1- x^(3/2)]^(1/2) dx
=-(2/3) ∫ d [1- x^(3/2) ]/[ 1- x^(3/2)]^(1/2)
=-(2/3) ∫ du /u^(1/2)
=-(4/3) u^(1/2) + C
=-(4/3) [ 1- x^(3/2)]^(1/2) + C
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