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find the area of the region bounded by the function y=-x^2+5x-4 and the x-axis

  • Math -

    y = -(x-1)(x-4)

    so you want to integrate between the roots, in the interval [1,4]

    a = ∫[1,4] -x^2+5x-4 dx
    = -1/3 x^3 + 5/2 x^2 - 4x [1,4]

    Now just evaluate at the ends and subtract.

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