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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा ११

Integrate the following functions with respect to x : sin2x1+cosx

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प्रश्न

Integrate the following functions with respect to x :

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

योग
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उत्तर

`int (sin^2x)/(1 + cosx)  "d"x = int (1 - cos^2x)/(1 + cosx)  "d"x`

= `int ((1 + cosx) xx (1 - cosx))/(1 + cosx)  "d"x`

= `int (1 - cosx)  "d"x`

= `int  "d"x - int cosx  "d"x`

= x – sin x + c

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 11: Integral Calculus - Exercise 11.5 [पृष्ठ २०२]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 11 Integral Calculus
Exercise 11.5 | Q 8 | पृष्ठ २०२

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