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Evaluate: int(-sinx+2cosx)/(2sinx+cosx)d...

Evaluate: `int(-sinx+2cosx)/(2sinx+cosx)dx`

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I=`int(sinx+2cosx)/(2sinx+cosx)dx`
Let `2sinx+cosx=t`
=`(2cosx-sinx)dx=dt`
I=`int(sinx+2cosx)/(2sinx+cosx)dx`
=`intdt/t`
=`log(t)+c`
=`log(2sinx+cosx)+c`
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