The value of the integral $\mathop \smallint \limits_0^\infty \frac{1}{{1\,\, + \,\,{x^4}}}dx$, is

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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The value of the integral

\int \limits_0^\infty \frac{1}{{1\,\, + \,\,{x^4}}}dx

, is

View answer and explanation

Correct option: C

\frac{\pi }{{2\,\sqrt 2 }}

Option C (

\frac{\pi}{{2\sqrt 2 }}

) is correct because the integral evaluates to this value after using trigonometric substitution and simplification.

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{C}

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