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Integrate the functions1/(1+cotx)...

Integrate the functions`1/(1+cotx)`

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`int 1/(1+cotx) dx`
`=int 1/(1+cosx/sinx) dx`
`=int 1/{(sinx+cosx)/sinx}dx`
`=int sinx/(sinx+cosx)dx` Multiply and divide by 2 `=int 2sinx/(2sinx+2cosx) dx`
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