The curve *y* = *x*^{3}, showing the portion under the curve from *x* = −2 to *x* = 1.

We can see from the graph that the portion between `x = -2` and `x = 0` is below the x-axis, so we need to take the absolute value for that portion.

`text[Area]= |int_-2^0x^3 dx|+int_0^1x^3 dx`

`=|[x^4/4]_-2^0|+[x^4/4]_0^1`

`=|(0-16/4)|+(1/4-0)`

`=4+1/4`

`=4.25\ text[units]^2`