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问题: ∫f'(u)/√f(u)du 求导

解答:

∫f'(u)/√f(u)du =∫t^(-1/2)dt|t=f(u)
=2t^(1/2)|t=f(u) =2f(u)^(1/2)+c
对其求导得

f'(u)*[f(u)]^(-1/2)