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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Integrate the following with respect to x. (logx)3x - Business Mathematics and Statistics

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Question

Integrate the following with respect to x.

`(log x)^3/x`

Sum
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Solution

Let log x = z

Then `1/x  "d"x = "d"z`

So `int (log x)^3/x  "d"x = int z^3"d"z`

= `z^4/4 + "c"`

= `(log x)^4/4 + "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 4 | Page 38
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