Area between graphs of two curves?

Calculate the area between the graphs of y = x + 7 and y = x^2 + 1

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  • 10 years ago
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    first set the two equations equal to each other to find the limits of integration

    next you subtract the top function minus the bottom function. That's all

    x + 7 = x^2 +1

    0 = x^2 - x - 7

    factor

    0 = (x- 3) (x +2)

    x = 3 and x = -2 these are your limits of integration

    ∫ top - bottom = area

    ∫(x+7) - (x^2 + 1) dx from -2 to 3

    i hope you can solve it from here

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