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Q.∫dxx(xn+1)\int \dfrac{dx}{x(x^n + 1)} equals

a
1nlog⁡∣xnxn+1∣+C\dfrac{1}{n} \log \left| \dfrac{x^n}{x^n + 1} \right| + C
b
log⁡∣xn+1∣+C\log |x^n + 1| + C
c
1nlog⁡∣xn+1∣+C\dfrac{1}{n} \log |x^n + 1| + C
d
1nlog⁡∣x∣+C\dfrac{1}{n} \log |x| + C

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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