generic · CBSE Class 12th English Medium · MATHEMATICS PART-2 · Page 14example

(iv) ∫ cosec

Chapter 7: INTEGRALS · MATHEMATICS PART-2 · EN medium

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= log cosec – cot + C We have cosec (cosec cot ) cosec (cosec cot ) Put cosec x + cot x = t so that – cosec x (cosec x + cot x ) dx = dt So cosec –log | | – log |cosec cot | cosec cot – log cosec cot = log cosec cot x + Example Find the following integrals: sin ( (iii) Solution We have (sin ) ( – cos ) cos (sin ) Put t = cos x so that dt = – sin x dx

📖 ncert book class 12 maths part 2 chapter 1 · Page 14

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= log cosec – cot + C We have cosec (cosec cot ) cosec (cosec cot ) Put cosec x + cot x = t so that – cosec x (cosec x + cot x ) dx = dt So cosec –log | | – log |cosec cot | cosec cot – log cosec cot = log cosec cot x + Example Find the following integrals: sin ( (iii) Solution We have (sin ) ( – cos ) cos (sin ) Put t = cos x so that dt = – sin x dx

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