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Integrate the functions: sinx(1+cosx)2 - Mathematics

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प्रश्न

Integrate the functions:

`(sin x)/(1+ cos x)^2`

योग

उत्तर

Let `I = int (sin x)/(1 + cos x)^2` dx

Put 1 + cos x = t 

⇒ - sin x dx = dt

∴ `I = - int dt/t^2 = t^(-2 + 1)/(-2 + 1) + C`

`= 1/t + C`

`= 1/(1 + cos x) + C`

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अध्याय 7: Integrals - Exercise 7.2 [पृष्ठ ३०५]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 12
अध्याय 7 Integrals
Exercise 7.2 | Q 31 | पृष्ठ ३०५

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