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

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

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I=`int(-sinx+2cosx)/(2sinx+cosx)\ dx`
Let `2sinx + cosx = t`
`d(2sinx + cosx) = dt `
`(2cosx - sinx)dx = dt `
`⇒ ∫(dt)/t `
`= In|t| + c `
`= ln|2sinx + cosx| + c.`
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