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JEE · Calculus for JEE · Advanced

Calculus for JEE: Jensen for math on math: math?

Standard integrals, optimization.

Try the problem

Jensen for x2x^2 on [0,1][0,1]: f(0)+f(1)2−f(12)\tfrac{f(0)+f(1)}{2}-f(\tfrac12)?

Hint and answer

Concept to use

Definite integral properties.

Hint

Convexity gap.

Answer

1/4

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