JEE Main 202622 Jan, Morning shiftMathematicsEasyDifferential Equations163× since 2002Let f:[1,∞)→Rf:[1, \infty)\to\mathbb{R}f:[1,∞)→R be a differentiable function. If 6∫1xf(t) dt=3xf(x)+x3−46\int_1^x f(t)\,dt=3xf(x)+x^3-46∫1xf(t)dt=3xf(x)+x3−4 for all x≥1x\ge 1x≥1, then the value of f(2)−f(3)f(2)-f(3)f(2)−f(3) isAOption A. −4-4−4BOption B. 444COption C. 333DOption D. −3-3−3CheckSkip · show solution
