Integrate the functions: (logx)2x - Mathematics

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Sum

Integrate the functions:

`(log x)^2/x`

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Solution

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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Chapter 7: Integrals - Exercise 7.2 [Page 304]

APPEARS IN

NCERT Mathematics Class 12
Chapter 7 Integrals
Exercise 7.2 | Q 2 | Page 304

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