Mathematics

Mathematics

Problem

Constants aa and bb obey the two conditions ∫01(ax+b) dx=3and∫01(bx+a) dx=2.\int_{0}^{1} (a x + b)\,dx = 3 \quad\text{and}\quad \int_{0}^{1} (b x + a)\,dx = 2. Determine the ordered pair (a,b)(a, b).

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