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Calculus Area Geometry question?

Let A denote the area between the graph of f(x) = 1/x and the interval (1,2), and let B denote the area between the same graph and the interval (1/2, 1). Explain geometrically why A = B.

Please help me...I know how to do this numerically, just don't know what is meant by explain geometrically?

1 Answer

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  • 1 decade ago
    Favourite answer

    Using trapezium's apporximation.

    A = ½b(h₁ + h₂)

    Area A = ½ (1)(1+½) =¾ square units

    Area B = ½(½)(1+2) = ¾ square units

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