Suppose pollutants are leaking out of an underground storage tank at a rate of latex: r\left(t\right)r ( t ) gallons per day, where latex: tt is measured in days. it is conjectured that latex: r\left(t\right)=t\cdot e^{\frac{t}{2}}r ( t ) = t ⋅ e t 2 during the first 7 days of the environmental disaster. how much of the pollutant leaks during the two-day time interval latex: 4\le t\le64 ≤ t ≤ 6?