Question: Show that the area A under y = 4/(x 2 + 1) over [0, 1] satisfies R N A L N for all

Show that the area A under y = 4/(x²+ 1) over [0, 1] satisfies R_N ≤ A ≤ L_N for all N. Determine A to at least three decimal places using a computer algebra system. Can you guess the exact value of A?

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