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  4. If 2f(x)-3f ((1/x)) =x, then ∫1ef(x)dx=

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Q. If $2f\left(x\right)-3f \left(\frac{1}{x}\right) =x, $ then $\int_{1}^{e}f\left(x\right)dx= $

COMEDKCOMEDK 2006Inverse Trigonometric Functions

Solution:

Correct answer is (a) $-\left(\frac{2+e^{2}}{5}\right)$