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int((x^(2)+x+1))/((x+2)(x^(2)-1))dx...

`int((x^(2)+x+1))/((x+2)(x^(2)-1))dx`

Text Solution

Verified by Experts

The correct Answer is:
`(3)/(5)log |x+2|(1)/(5)log |x^(2)+1|+(1)/(5)tan ^(-1)x+C`
`Let ((x^(2)+x+1))/(x^(2)(x+2))=(A)/(x)+(B)/(x^(2))+(C )/((x+2))`
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