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Indefinite Integrals question

2023 · 25 Jan · Shift 1 · Q30

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2023 · 25 Jan · Shift 1 · Q30

Indefinite Integrals question

2023 · 25 Jan · Shift 1 · Q30

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

Let

f(x) = \int {{{2x} \over {({x^2} + 1)({x^2} + 3)}}dx}

. If

f(3) = {1 \over 2}({\log _e}5 - {\log _e}6)

, then

f(4)

is equal to

A
${\log _e}19 - {\log _e}20$
B
${\log _e}17 - {\log _e}18$
C
${1 \over 2}({\log _e}19 - {\log _e}17)$
D
${1 \over 2}({\log _e}17 - {\log _e}19)$

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