Let f, g : (0, ∞) → ℝ be two functions defined by f(x) = _ -x ^x(|t| - t^2)e^ -t^2 dt and g(x) = _0^ x^2 t^...

Question

Let f, g : (0, ∞) → ℝ be two functions defined by f(x) = _ -x ^x(|t| - t^2)e^ -t^2 dt and g(x) = _0^ x^2 t^ 1/2 e^ -t dt. Then, the value of 9 (f( _e9 ) + g( _e9 ) ) is equal to

Accepted Answer

(D)

JEE Main 2024 Mathematics question

Solution

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