Question

Given the current through a point to be i(t) = 9.16 cos( 1.57 t), in amperes, determine the total amount of charge, in coulombs, flowing through the said point during the time interval 3.01 s < t < 5.19 s.

Answer 1

$$Q=\int_{3.01}^{5.19}i(t)dt\\Q=\int_{3.01}^{5.19}(9.16 \cos( 1.57 t))dt\\Q=11.4\ C$$