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Integrate the functions(5x-2)/(1+2x+3x^2...

Integrate the functions`(5x-2)/(1+2x+3x^2)`

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Let I`=∫(5x-2)/(1+2x+3x^2)dx`
=`5/6∫(6x-12/5)/(1+2x+3x^2)​​dx`
=`5/6∫(6x-12/5-2+2)/(1+2x+3x^2)​​dx`
=`5/6[∫(6x+2)/(1+2x+3x^2)​​dx-22/5∫1/(1+2x+3x^2)​​]dx`
=`5/6[∫(6x+2)/(1+2x+3x^2)​​dx-22/5∫3/(3+6x+9x^2)​​]dx`
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