JEE Main 202126 Aug, Evening shiftMathematicsMediumIntegral Calculus369× since 2002
Let a and b respectively be the points of local maximum and local minimum of the function f(x) = 2x³ 3x² 12x. If A is the total area of the region bounded by y = f(x), the x-axis and the lines x = a and x = b, then 4A is equal to ______________.