An electric generator supplies power as a function of time according to the expression
P(t) = 2t + 3t²
Where the units are SI. The electric energy provided by the generator between t = 0 and t = 1 s is

Question

Quizplus · Accepted Answer

The electric energy provided by the generator between t = 0 and t = 1 s is given by the integral of the power with respect to time:$$E = \int_0^1 (2t + 3t^2) dt = [t^2 + t^3]_0^1 = 1^2 + 1^3 - 0^2 - 0^3 = 2 J$$

An Electric Generator Supplies Power as a Function of Time