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Let. \(5f(x)+4f\left(\frac{1}{x}\right)=\frac{1}{x}+3,x>0\) Then \(18{\int }_{1}^{2}f(x)dx\) is equal to: [JEE Main 2023…

Q1

Let. \(5f(x)+4f\left(\frac{1}{x}\right)=\frac{1}{x}+3,x>0\) Then \(18{\int }_{1}^{2}f(x)dx\) is equal to:

[JEE Main 2023, 6 Apr (Shift 1)]

a

\(10{\log }_{e}2-6\)

b

\(10{\log }_{e}2+6\)

c

\(5{\log }_{e}2+3\)

d

\(5{\log }_{e}2-3\)

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