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Indefinite Integrals question

2019 · 9 Jan · Shift 2 · Q32

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2019 · 9 Jan · Shift 2 · Q32

Indefinite Integrals question

2019 · 9 Jan · Shift 2 · Q32

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

If

f\left( x \right) = \int {{{5{x^8} + 7{x^6}} \over {{{\left( {{x^2} + 1 + 2{x^7}} \right)}^2}}}} \,dx,\,\left( {x \ge 0} \right),f\left( 0 \right) = 0,

then the value of

f(1)

is :

A
$- {1 \over 2}$
B
$- {1 \over 4}$
C
${1 \over 2}$
D
${1 \over 4}$

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