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colorful
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looking...

AravindG
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dw:1334682469958:dw

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perhaps multiply out the bottom and do polynomial ling division, then partial fractions with the remainder

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\[\int{x^2+x+3\over x^2x2}dx=\int1+{2x+5\over(x2)(x+1)}dx\]unless I messed up the long division

AravindG
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thx

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welcome, as usual Arvind ;)