Let 5f(x) + 4f(1/x) = 1/x + 3, x>0. Then 18∫₁² f(x) dx is equal t… | JEE Main 2023 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2023 · 6 April, Shift 1Definite Integrals

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:

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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