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Write a value of int(cosx)/(3+2sinx)\ dx...

Write a value of `int(cosx)/(3+2sinx)\ dx`

Text Solution

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Let,
`3+2sinx=t`
`2cosx dx=dt`

`=int(cosx)/(3+2sinx)\ dx`

`=(1)/(2)int(dt)/(t)`

`=(1)/(2)log t+C`

`=(1)/(2)log (3+2sinx)+C`

`(Answer)`
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