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Integrate the functions(cosx)/(1+cosx)...

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

Text Solution

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We have `int cosx/(1+cosx)dx`
=`int (1+cosx-1)/(1+cosx)dx`
=`int (1-1/2sec^2(x/2))dx`
=`x-1/2 *[tan(x/2)]/(x/2)+c`
=`x-tan(x/2)+c`
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