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Find the integrals of the function: sin2x1+cosx

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प्रश्न

Find the integrals of the function:

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

योग
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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]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 7 Integrals
Exercise 7.3 | Q 12 | पृष्ठ ३०७

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