JEE Main 2025 Mathematics question

MathematicsArea Under CurveJEE Main 2025

Let the function

f(x) =

Be differentiable for all x ∈ R, where a > 1, b ∈R. If the area of the region enclosed by y = f(x) and the line y = – 20 is , α, β,∈Z, then the value of α + β is .

Answer: 34

Solution

From continuity/differentiability, a=2 (a>1), b=-12. f(x)=-6x²-2 for x<1,

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Question ID VK-001688