The value of the integral \\int ^{1}_{0} {\\sqrt{x} d x}/{(1+x)(1+3 x)(3+x)} is [27 Aug 2021 Shift 2]

Correct Answer is : π8(1−√32)

\frac{\\pi}{8}(1-{\\sqrt{3}/{2})

\frac{\\pi}{4}(1-{\\sqrt{3}/{6})

\frac{\\pi}{8}(1-{\\sqrt{3}/{6})

\frac{\\pi}{4}(1-{\\sqrt{3}/{2})

JEE Main 27-Aug-2021 Shift 2 Solved Paper

Section: Mathematics

Question : 79 of 90

Marks: +1, -0

The value of the integral

∫

√xdx

(1+x)(1+3x)(3+x)

[27 Aug 2021 Shift 2]

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