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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Integrate the following functions with respect to x: 16-4x - Mathematics

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Question

Integrate the following functions with respect to x:

`1/(6 - 4x)`

Sum

Solution

`int ("d"x)/("a"x + "b") = 1/"a" log |"a"x + "b"| + "c"`

`int ("d"x)/(6 - 4x) = 1/(-4) log|6 - 4x| + "c"`

= `-1/4 log|6 - 4x| + "c"`

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Chapter 11: Integral Calculus - Exercise 11.2 [Page 190]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 11 Integral Calculus
Exercise 11.2 | Q 3. (iii) | Page 190
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