Function Integral Value (Jee Mains)

Basics and Substitution

Medium

Function Integral Value

Let f(x) + 2f $\left( {\frac{1}{x}} \right)$ = x² + 5 and 2g(x) – 3g $\left( {\frac{1}{2}} \right)$ = x, x > 0.
If α = $\int\limits_1^2 {\;f(x)\;dx}$ , and β = $\int\limits_1^2 {\;g(x)\;dx}$ , then the value of 9α + β is :

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