Let f(x) = ∫ 2x/((x² + 1)(x² + 3))dx. If f(3) = 1/2(log e 5 - log e 6), then f(4) is equal to

Integral Calculus: JEE Main 2023 Mathematics question

JEE Main 2023 · 25 Jan, Morning shift · Q4034

JEE Main 202325 Jan, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

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

JEE Main 2023 · 25 Jan, Morning shift · Q4034

JEE Main 202325 Jan, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

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