
不定积分 一道题
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∫ lnx/√x dx
=∫ lnx [1/√x dx]
= 2∫lnx d√x
= 4∫ln√x d√x
= 4√xln√x - 4∫√x dln√x
= 4√xln√x - 4∫√x/√x d√x
= 4√xln√x - 4√x + C
=∫ lnx [1/√x dx]
= 2∫lnx d√x
= 4∫ln√x d√x
= 4√xln√x - 4∫√x dln√x
= 4√xln√x - 4∫√x/√x d√x
= 4√xln√x - 4√x + C
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