Exercise 9.1: Definite Integral as the Limit of a Sum

EXERCISE 9.1

1. Find an approximate value of 1.5∫1 xdx by applying the left-end rule with the partition {1.1, 1.2, 1.3, 1.4, 1.5}.

2. Find an approximate value of 1.5∫1 x2 dx by applying the right-end rule with the partition {1.1, 1.2, 1.3, 1.4, 1.5}.

3. Find an approximate value of  1.5∫1 ( 2 − x ) dx by applying the mid-point rule with the partition {1.1, 1.2, 1.3, 1.4, 1.5}.

Answers:

1. 0.6

2. 0.855

3. 0.375