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Find the integrals of the function: sin2x1+cosx - Mathematics

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प्रश्न

Find the integrals of the function:

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

योग

उत्तर

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

`= int (1 - cos^2 x)/(1+ cos x)  dx`

`= int ((1 - cos x) (1 + cos x))/(1 + cos x)  dx`

`= int (1 - cos x) dx`

`= int 1  dx - int cos x  dx`

`= x - sin x + C`

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अध्याय 7: Integrals - Exercise 7.3 [पृष्ठ ३०७]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 12
अध्याय 7 Integrals
Exercise 7.3 | Q 12 | पृष्ठ ३०७

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