The left hand rule is an approximate method for finding the area under the curve

f(x) between the limits

x=a and

x = b which uses the formula:

\qquad \displaystyle \int_a^b f(x) \, dx = h(f(x_0) + f(x_1) + ... + f(x_{n-1}))
where

x_0, x_1,... x_{n-1} \, are the values of

x at the left hand end of

n strips, each of width

h
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1 Exam Question

2 Exam Question

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4 Exam Question

5 Exam Question

6 Exam Question

7 Trapezium rule 3

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23 Left-hand rule

24 Right-hand rule

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27 Exam Question

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29 The mid-point rule 2

30 Exam Question

31 The mid-point rule 3

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34 Exam Question

35 The mid-point rule 4

36 The mid-point rule 5

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39 Trapezium rule 5

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58 Exam Question

59 Exam Question

60 Exam Question

61 Exam Question

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64 Exam Question

65 Exam Question

66 Exam Question

67 O-test 1

68 O-test 2

69 Exam O-test 1

70 Exam O-test 3

71 Exam O-test 2

72 Exam timed O-test 1

73 Exam timed O-test 2