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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Integrate the following with respect to x : cotxlog(sinx) - Mathematics

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Question

Integrate the following with respect to x :

`cot x/(log(sin x))`

Sum

Solution

`int cot x/(log(sin x))  "d"x`

Put `log(sin x)` = u

`1/sin x xx cos x  "d"x` = du

`cosx/sinx * "d"x` = du

`cot x * "d"x` = du

`int cot x/(log(sin x))  "d"x = int "du"/"u"`

= `log |"u"| + "c"`

`int cot x/(log(sin x))  "d"x = log |log(sin x)| + "c"`

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Chapter 11: Integral Calculus - Exercise 11.6 [Page 206]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 11 Integral Calculus
Exercise 11.6 | Q 6 | Page 206
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