#### To determine

**To search:**

What does theintegral ∫08rtdt represent?

#### Answer

∫08rtdt represents the total amount of oil consumed in barrels in the 8 years starting January 1 2000 to January 1 2008.

#### Explanation

r(t) is the rate at which the world’s oil is consumed, and t is the time measured in years.

Here t starts with 0 from the year January 1, 2000.

And r(t) is measured in barrels per year,

Therefore, the integral of r(t) with limits from 0 to 8 i.e.

∫08rtdt is the amount of oil consumed in thenext 8 years.

**Conclusion:**

∫08rtdt represents the amount of oil consumed in 8 years, starting January 1 2000 to January 1 2008.