Indefinite integral of ∫ Sint & # 189; / T & # 189; DT

In [x ^ 2,5], find the derivative of the definite integral of [Sint / T]

∫ (LNX / x) DX using partial integration method solution... Need detailed process, assuming x > 0, thank you!

Don't assume, because the domain of LNX is x > 0
∫（lnx/x）dx
=∫lnx dlnx
=(lnx)^2 /2 +C

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