This document provides instructions and problems for using the Trapezoidal Rule to estimate definite integrals. Students are asked to show their work, circle final answers, and use the Trapezoidal Rule with 4 steps to estimate 5 integrals involving functions such as x, x^2, sinx, and 1/(1+x). The integrals range from 0 to positive values on the x-axis, as well as from 1 to -1.

1. Name___________________________________ Trapezoidal Rule - 1
Show all work for short answer questions , neatly, legibly on a separate sheet(s) of paper attached to this worksheet. Circle
your final answers for both short answer and multiple choice questions.
Use the Trapezoidal Rule with n = 4 steps to estimate the integral.
1)
5
0
x dx∫ 1)
Answer:
25
2
2)
2
0
4x2 dx∫ 2)
Answer: 11
3)
1
-1
(x2 + 5) dx∫ 3)
Answer:
43
4
4)
1
0
8
1 + x
dx∫ 4)
Answer:
1171
210
5)
0
-π
sin x dx∫ 5)
Answer: -
1 + 2
4
π
1