∫dx/(x*ln√x)

问题描述:

∫dx/(x*ln√x)

2ln|ln√x|+C

∫ 1/(x*ln√x) dx
=∫ 1/(√x√x*ln√x) dx
=2∫ 1/(√xln√x) d(√x)
=2∫ 1/(ln√x) d(ln√x)
=2ln|ln√x|+C