Chapter 5.4, Problem 75E

Medicine. The rate of healing, A′(t) (in square centimeters per day), for a certain type of skin wound is given approximately by the following table:

t	0	1	2	3	4	5
A′(t)	0.90	0.81	0.74	0.67	0.60	0.55
t	6	7	8	9	10
A′(t)	0.49	0.45	0.40	0.36	0.33

(A)    Use left and right sums over five equal subintervals to approximate the area under the graph of A'(t) from t = 0 to t = 5.

(B)    Replace the question marks with values of L₅ and R₅ as appropriate:

$?\le {\displaystyle {\int }_0^{5}A\text{'}\left(t\right)}dt\le ?$