मराठी

Evaluate the following: d∫dx1+cosx

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प्रश्न

Evaluate the following:

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

बेरीज
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उत्तर

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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पाठ 7: Integrals - Exercise [पृष्ठ १६४]

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