The value of the integral $\mathop \smallint \limits_2^4 \,\,\frac{{\sqrt {{x^2} - \,\,4} }}{{{x^4}}}\,\,dx$, is

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The value of the integral

\int \limits_2^4 \,\,\frac{{\sqrt {{x^2} - \,\,4} }}{{{x^4}}}\,\,dx

, is

View answer and explanation

Correct option: B

\frac{{\sqrt 3 }}{{32}}

Option B (

\frac{{\sqrt 3 }}{{32}}

) is correct because it is the result of evaluating the definite integral using trigonometric substitution.

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