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Integrate the functions1/(9x^2+6x+5)...

Integrate the functions`1/(9x^2+6x+5)`

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`int(1)/(9x^(2) +6x+5)dx`
`=(1)/(9) int (1)/(x^(2) +(2)/(3) x+(5)/(9))dx`
` =(1)/(9) int(1)/(x^(2) +(2x)/(3)+(1)/(9)+(5)/(9)+(1)/(9))dx`
`=(1)/(9) int(1)/((x+(1)/(2))^(2)+((2)/(3))^(2))dx`
` =(1)/(9).(1)/(2//3) tan^(-1). (x+(1)/(3))/((2)/(3))+c`
`=(1)/(6) tan^(-1) ((3x+1)/(2))+c`
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