JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumIntegral Calculus369× since 2002Let f:[1,∞)→[2,∞)f : [1, \infty) \to [2, \infty)f:[1,∞)→[2,∞) be a differentiable function. If ∫1xf(t) dt=5xf(x)−x5−9\int_1^x f(t)\,dt = 5x f(x) - x^5 - 9∫1xf(t)dt=5xf(x)−x5−9 for all x≥1x \geq 1x≥1, then the value of f(3)f(3)f(3) is:AOption A. 18BOption B. 32COption C. 22DOption D. 26CheckStep-by-step hintSkip · show solution
