English

Evaluate the following: d∫dx1+cosx

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Question

Evaluate the following:

`int ("d"x)/(1 + cos x)`

Sum
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Solution

I = `int ("d"x)/(1 + cos x)`

= `int 1/(2 cos^2  x/2) "d"x`

= `1/2 int sec^2  x/2 "d"x`

= `1/2 * 1/(1/2) tan  x/2 + "C"`

= `tan  x/2 + "C"`

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Chapter 7: Integrals - Exercise [Page 164]

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NCERT Exemplar Mathematics Exemplar [English] Class 12
Chapter 7 Integrals
Exercise | Q 6 | Page 164

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