How many words are memorized in the first 8 minutes?

Question

Suppose that in a memory experiment the rate of memorizing is given by , where  is the memory rate, in words per minute. How many words are memorized in the first 8 minutes?                      words

Round your answer to the nearest whole word

Answer 1

The concept here is that, since M^'(t) is a rate function, the definite integral over a time period will give us the total change in the quantity during that time.

So ∫₀⁸ M^'(t)dt is the number we are looking for. Since M^' is a polynomial, we can integrate by hand using reverse power rule ....