Hello, can I get some help with the problem below? I'm given that the area for the first integral (3 to 6) is 4 gallons, but the hint is that the value is negative. How can I find this?

For the second part, I found the area of the second integral (0-6) by taking 4 gallons minus 1.5 gallons to get a total of 2.5 gallons.

If the bathtub contains at least 15 gallons of water, does that mean that in the first part the bathtub is increasing in area from 15 gallons plus 4 gallons to 19 gallons per minute? Likewise, the second integral (0-6) then means that the flow rate is decreasing in area from 15 gallons minus 2.5 to mean 12.5 gallons in area?

PROBLEM:

Let's now consider the graph: Suppose we have bathtub that contains at least 15 gallons of water in it. We can add water to the tub and we can remove water from the tub. The graph above shows the ow rate, t), of water inlout of the tub in gallons per minute where t is the time in minutes. 6 a) Find the value of the integral f f(t) tit and write a sentence to interpret the value in context 3 (including units). Note: The value will be negative. What does the integral being negative mean? A 6 b) Find the value of the integral / f(t) dt and write a sentence to interpret the value in context 0 (including units)