Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

∫(1 / x) log x dx =

1) loge (1 – loge x) + c

2) loge (loge ex – 1) + c

3) log (log x – 1) + c

4) loge (loge x + x) + c

5) log (log x) + c

Solution: (5) log (log x) + c

Take log x = t

(1 / x) dx = dt

∫dt / t = log t + c

t = log (log x) + c

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