The integral 24/(π)∫₀^(2) ((2 - x²)dx)/((2 + x²)√(4 + x⁴)) is equal to _ _ _ _ _ _.

Integral Calculus: JEE Main 2022 Mathematics question

JEE Main 2022 · 26 Jun, Evening shift · Q31

JEE Main 202226 Jun, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

The integral

{{24} \over \pi }\int_0^{\sqrt 2 } {{{(2 - {x^2})dx} \over {(2 + {x^2})\sqrt {4 + {x^4}} }}}

is equal to ____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 · 26 Jun, Evening shift · Q31

JEE Main 202226 Jun, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

The integral

{{24} \over \pi }\int_0^{\sqrt 2 } {{{(2 - {x^2})dx} \over {(2 + {x^2})\sqrt {4 + {x^4}} }}}

is equal to ____________.

Your answerType your answer. Integers and decimals are accepted.