The value of the integral $I = \mathop \smallint \limits_1^\infty \,\,\frac{{{x^2} - \,\,2}}{{{x^3}\,\sqrt {{x^2} - \,\,1} }}\,\,dx$, is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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The value of the integral

I = \int \limits_1^\infty \,\,\frac{{{x^2} - \,\,2}}{{{x^3}\,\sqrt {{x^2} - \,\,1} }}\,\,dx

, is

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Correct option: A

0

Option A (0) is correct because the integral evaluates to zero due to a substitution that reveals symmetry.

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