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Integrate the functions: (logx)2x - Mathematics

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प्रश्न

Integrate the functions:

`(log x)^2/x`

बेरीज

उत्तर

Let `I = int (log x)^2/x` dx

Put log x = t

`1/x` dx = dt

Hence, `I = int t^2` dt

`I = t^3/3 + C`

`I = 1/3 (log x)^3 + C`

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पाठ 7: Integrals - Exercise 7.2 [पृष्ठ ३०४]

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एनसीईआरटी Mathematics [English] Class 12
पाठ 7 Integrals
Exercise 7.2 | Q 2 | पृष्ठ ३०४

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