integration

👨🏻‍🏫 學術台數學

[匿名]

2010-05-20 4:18 pm

Please evaluate ∫ (ln x) / x dx

更新1:

∫ (ln x) / x dx

更新2:

integrate (ln x) / x dx

回答 (1)

Prof. Physics

2010-05-20 4:44 pm

✔ 最佳答案

S (lnx) / x dx = S (lnx) (1/x dx)

Let u = lnx

du = 1/x dx

So, the integral becomes:

S u du

= u^2 / 2 + C

= (lnx)^2 / 2 + C

where C is a constant

參考: Prof. Physics

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