MathAnalysisCalculusIntegrals

Trigonometric Substitution

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Consider the following integral

$I = \int \frac{1}{x^2-1} \ dx$

Which is the more general antiderivative for the integrand?

Select one option from the list

2 \arctan(x - 1) + \ln(x+1) + C

\frac{1}{2} \ln \left( \frac{x-1}{x+1} \right) + C

\frac{1}{2} \ln \left( \frac{x+1}{x-1} \right) + C

2 \arctan(x^2 - 1) + C

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