The curve *y* = *x*^{2} + 2, showing the portion under the curve from *x* = −1 to *x* = 2.

The required area is totally below the `x`-axis in this example, so we need to use absolute value signs.

`text[Area] = |int_a^bf(x) dx|`

`=|int_-1^2(x^2-4) dx|`

`=|[x^3/3 - 4x]_-1^2|`

`=|[(8/3-8)-(-1/3+4)]|`

`=|-9|`

`=9\ text[units]^2`

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