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Tamil Nadu Board of Secondary EducationHSC Science Class 11

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

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Question

Integrate the following functions with respect to x :

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

Sum

Solution

`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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Chapter 11: Integral Calculus - Exercise 11.5 [Page 202]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 11 Integral Calculus
Exercise 11.5 | Q 8 | Page 202
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