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Evaluate: int(sinx)/(1+sinx)\ dx...

Evaluate: `int(sinx)/(1+sinx)\ dx`

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Given,`int(sinx)/(1+sinx)\ dx`
=`int((sinx)(1-sinx))/((1+sinx)(1-sinx)) dx`
=`int(sinx-sin^2x)/(cos^2x)dx`
=`int (sinx/cos^2x-tan^2x)`
=`int(secxtanx-(sec^2x-1))dx`
=`secx-tanx+x+c`
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