Prove that f(x) dx = f(x - c) dx. (The geometric interpretation should make this very plausible.) Hint: Every partition P = {t0, ... , tn} of [a, b] gives rise to a partition P' = {t0 + c, ... , tn + c} of [a + c, b + c], and conversely.
Show transcribed image text Prove that f(x) dx = f(x - c) dx. (The geometric interpretation should make this very plausible.) Hint: Every partition P = {t0, ... , tn} of [a, b] gives rise to a partition P' = {t0 + c, ... , tn + c} of [a + c, b + c], and conversely. 
