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Integrate the functions: cot x log sin x - Mathematics

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Question

Integrate the functions:

cot x log sin x

Sum

Solution

Let `I = int cot x log sin x dx`

Put log sin x = t

`1/sinx` . cos x dx = dt

`I = int t  dt`

or cot x dx = dt

∴ `I = int t  dt = t^2/2 + C`

`= 1/2 [log (sin x)]^2 + C`

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Chapter 7: Integrals - Exercise 7.2 [Page 305]

APPEARS IN

NCERT Mathematics [English] Class 12
Chapter 7 Integrals
Exercise 7.2 | Q 29 | Page 305

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