JEE MAIN - Mathematics Hindi (2021 - 27th August Evening Shift - No. 12)
इस इंटिग्रल का मान $$\int\limits_0^1 {{{\sqrt x dx} \over {(1 + x)(1 + 3x)(3 + x)}}} $$ है:
$${\pi \over 8}\left( {1 - {{\sqrt 3 } \over 2}} \right)$$
$${\pi \over 4}\left( {1 - {{\sqrt 3 } \over 6}} \right)$$
$${\pi \over 8}\left( {1 - {{\sqrt 3 } \over 6}} \right)$$
$${\pi \over 4}\left( {1 - {{\sqrt 3 } \over 2}} \right)$$
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