6) **You may use a calculator for this question** The rate at which rain water flows into a drainpipe is modeled by the function R, where R(t) = 20 sin + 2 cubic feet per hour, t is measured in hours, and 0 8, water continues to flow into and our of the pipe at the given rates until it overflow. Write, but do not evaluate, an equation involving one or more intergrals that gives the time w, which is the time that the pipe overflows. Explain your reasoning as to why you wrote said equation