हिंदी

Evaluate : ∫sin(x−a)/sin(x+a)dx

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प्रश्न

Evaluate : `intsin(x-a)/sin(x+a)dx`

 

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उत्तर

`intsin(x-a)/sin(x+a)dx`

Let `, (x + a) = t `

`intsin(t-2a)/sint dt=int(sintcos2a-costsin2a)/sint dt=int(cos2a-cot t sin2a)dt`

`therefore intsin(t-2a)/sint dt =(cos2a)t-(sin2a)log|sint|+C`

 

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2012-2013 (March) Delhi Set 1

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