1.

What is \(\rm \displaystyle\int \dfrac{dx}{x(x^n+1)}\) equal to?

A. \(\rm \dfrac{1}{n} \ln \left(\dfrac{x^n}{x^n +1}\right)+c\)
B. \(\rm \ln \left(\dfrac{x^n+1}{x^n}\right)+c\)
C. \(\rm \ln \left(\dfrac{x^n}{x^n +1}\right)+c\)
D. \(\rm \dfrac{1}{n}\ln \left(\dfrac{x^n +1}{x^n}\right)+c\)
Answer» B. \(\rm \ln \left(\dfrac{x^n+1}{x^n}\right)+c\)


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