Hello tutors, can I get help with the following integration BY PART problem? Thank you.

Due to predatorprey dynamics, a population of earthworms has a stable spiral equi librium at 100 (measured in thousands of earthworms). This means that, after an en vironmental anomaly temporarily disturbs the population away from its equilibrium, the time series for the population might look like W(t) : 120 100 cos(3t)e_t thousands of earthworms 150 -- 100 50 ,, t days 1 2 3 4 ( ) As an ecologist studying this population, you capture individual worms (and release them) at a rate of 0.1W(t) earthworms per day. Over the course of the rst ve days (from t = 0 to t : 4) what is the total number of worms that you catch and release