124 Part I: The Questions
Simpson’s Rule
998–1,001 Use Simpson’s rule with the specified
value of n to approximate the integral. Round to
the nearest thousandth.
998.
1
3
3
0
6
+
∫
x dx with n = 6
999.
ln x
x
dx
1
2
1
2
+
∫
with n = 4
1,000. cos x
x
dx
1
3
∫
with n = 8
1,001.
sin x dx
0
1 2
∫
with n = 4
The Trapezoid Rule
994–997 Use the trapezoid rule with the specified
value of n to approximate the integral. Round to
the nearest thousandth.
994.
1
3
3
0
6
+
∫
x dx with n = 6
995.
ln x
x
dx
1
2
1
2
+
∫
with n = 4
996.
cos x
x
dx
1
3
∫
with n = 8
997.
sin xdx
0
1 2
∫
with n = 4