🛠️ JEE➗ Maths

Let f (x) =\(\int \frac{2x}{({x}^{2}+1)({x}^{2}+3)}dx.\)if f(3) \(=\frac{1}{2}\)\(({\log }_{e}5-{\log }_{e}6),\)then f(4…

Q1

Let f (x) =\(\int \frac{2x}{({x}^{2}+1)({x}^{2}+3)}dx.\)if f(3) \(=\frac{1}{2}\)\(({\log }_{e}5-{\log }_{e}6),\)then f(4) is equal to

[JEE Main 2023, 25 Jan (Shift 1)]

a

\({\log }_{e}19-{\log }_{e}20\)

b

\(\frac{1}{2}({\log }_{e}19-{\log }_{e}17)\)

c

\({\log }_{e}17-{\log }_{e}18\)

d

\(\frac{1}{2}({\log }_{e}17-{\log }_{e}19)\)

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