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Integrate the functions: (1+logx)2x

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Question

Integrate the functions:

`(1+ log x)^2/x`

Sum
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Solution

Let `I = int (1 + log x)^2/x dx`

Put 1 + log x = t 

`1/x dt = dt`

Hence, `I = int t^2` dt

`= t^3/3 + C`

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

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Chapter 7: Integrals - Exercise 7.2 [Page 305]

APPEARS IN

NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 7 Integrals
Exercise 7.2 | Q 35 | Page 305

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