Find the value of k to the nearest integer such that the line x=k divides the area under f(x)=(x^3)/36 - x + 15 on [0,20] into two equal areas.
I set up an integral with the integrand being the f(x) from 0 to 20 and I got 1,211.11 then I divided by two which is 605.556. I am not quite sure what to do from here. Can someone shed some light on this problem? Thanks!