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Find \(\int \frac{10x^9 +10^x\,log_e 10}{10^x+x^{10}}dx.\)

(a) \(log_e (10^x +x^{10})+C\)

(b) \(log_e(10^x-x^{10})+C\)

(c) \(log_e (x^ {10}-10^ {x})+C\)

(d) None of these

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