Problem 4

4. Find the area between y = x³ – x² – 6x and y = 0.

NEED SKETCH

This one needs to be divided into two parts.

Find the limits:

     0 = x³ – x² – 6x

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

Now the equation for area:

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