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Indefinite Integrals question

2020 · 4 Sep · Shift 1 · Q34

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2020 · 4 Sep · Shift 1 · Q34

Indefinite Integrals question

2020 · 4 Sep · Shift 1 · Q34

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

Let

f\left( x \right) = \int {{{\sqrt x } \over {{{\left( {1 + x} \right)}^2}}}dx\left( {x \ge 0} \right)}

. Then f(3) – f(1) is eqaul to :

A
$- {\pi \over {12}} + {1 \over 2} + {{\sqrt 3 } \over 4}$
B
${\pi \over {12}} + {1 \over 2} - {{\sqrt 3 } \over 4}$
C
$- {\pi \over 6} + {1 \over 2} + {{\sqrt 3 } \over 4}$
D
${\pi \over 6} + {1 \over 2} - {{\sqrt 3 } \over 4}$

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