Given that the electricity for home use is 5 cents per kilowatt-hour (kWh), how much would it cost to operate 5 fluorescent 40W light bulbs for the months of April and May if they are on for 3 hours/day? How much less is this than running 5 incandescent 100W light bulbs for 3 hours/day over the same time period?

The answer is    (d) 7/2======we have    we also  have an integral      notice how function f splits up at x = 0. there's a left piece and a right pieceso we'll need to do the same thing with our integral: split it at x = 0we use a property of integrals that allows us to split up and sum:     notice that for the piecewise function f, the function has the equationf(x) = x when x  ≤ 0. so for the integral  , f(x) = x so it changes into      for the piecewise function f, the function has the equationf(x) = x+1  when x  > 0. for the integral  , we have    therefore, back to our splitted integral: