Chapter 14 Sums and Asymptotics412
0 1 2 3
^
n� 2 n� 1 nf.n/
f.n�1/f.3/
f.2/
f.1/Figure 14.1P The area of theith rectangle isf.i/. The shaded region has area
n
iD 1 f.i/.
0 1 2 3 n� 2 n� 1 n
^
f.n/f.x/f.n�1/f.3/
f.2/
f.1/Figure 14.2 The shaded area under the curve off.x/from 1 ton(shown in bold)
isID
Rn
1 f.x/dx.