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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Integrate the following with respect to x 1xlogx - Business Mathematics and Statistics

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Question

Integrate the following with respect to x

`1/(x log x)`

Sum
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Solution

Let  log x = z

Then `1/x  "d"x` = dz

So `int 1/(x log x)  "d"x = int ("d"z)/z = log z + "c"`

= log |log x| + c

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Chapter 2: Integral Calculus – 1 - Exercise 2.6 [Page 38]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 2 Integral Calculus – 1
Exercise 2.6 | Q 9 | Page 38
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