Let f(x)=\int\sqrt{x}/{(1+x)^{2}} d x (x \\geq0) . Then f(3)-f(1) is equal to : [4 Sep 2020 Shift 1]

Correct Answer is : π12+12−√34

- \frac{\\pi}{6}+ \frac{1}{2}+\sqrt{3}/{4}

\frac{\\pi}{6}+ \frac{1}{2}-\sqrt{3}/{4}

- \frac{\\pi}{12}+ \frac{1}{2}+\sqrt{3}/{4}

\frac{\\pi}{12}+ \frac{1}{2}-\sqrt{3}/{4}

JEE Mains 04-Sep-2020 Shift 1 Solved Paper

Section: Mathematics

Question : 59 of 75

Marks: +1, -0

Let f(x)=∫

√x

(1+x)2

dx (x≥0). Then f(3)−f(1) is equal to :

[4 Sep 2020 Shift 1]

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