olymmath

VTRMC 2009 Problem 3

    Define f(x)=∫0x∫0xeu2v2dudvf(x)=\int^x_0\int^x_0e^{u^2v^2}dudv . Calculate 2f′′(2)+f′(2)2f''(2)+f'(2) .

    Dataset text AI-MO AoPS. Quoted with source.

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