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$Let \int \frac{d x}{x^{2008} + x} = \frac{1}{p} \log (\frac{x^{q}}{1 + x^{r}}) + C where p, q, r \in N and need not be$ $distinct then the sum of the digits in p + q + r is$

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Correct option is B

I=∫1.dxxx2007+1dx=∫1x−x20061+x2007dx=log⁡x−12007log⁡1+x2007=log⁡x2007−log⁡1+x20072007=12007log⁡x20071+x2007+Cp+q+r=6021 The sun of digits in p+q+r is 6+0+2+1=9

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