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JEE Main 2026 Mathematics question

MathematicsApplication of DerivativesJEE Main 2026

Let (2^(1−a)+2^(1+a)), f(a), +3^(−a)) be in A.P. and α be the minimum value of f(a). Then the value of the integral is:

Answer: (B)

Solution

f(a)=+++/2, minimised at a=0 giving α=3. The integral from ln2 to ln3 evaluates to (1/4)ln(4/3).

Question ID VK-015427