The power absorbed by the BOX is 0.1e^{-4t} W. Calculate the energy absorbed by the BOX during this same time interval.

#### Solution:

To solve this question, we must remember the following equation:

\,\displaystyle W=\int^{t_2}_{t_1}p\,dt

(Where, W is energy, and p is power)

Substitute the power equation:

\,\displaystyle W=\int^{\infty}_{0}0.1e^{-4t}\,dt

W=-0.025e^{-4t}\Big|^{\infty}_{0}

W=0.025 J

W=-0.025e^{-4t}\Big|^{\infty}_{0}

W=0.025 J