University:
Whitman College
Course:
MATH-124 | Introduction to Calculus
Academic year:

2022
Views:

393

Pages:

1
Author:

esfredint7qo

Worksheet 1, Section 4.3 (Definite Integrals) Name: Date: Directions: You are encouraged to work in groups, but you don’t need to do so. We’ll turn in what we could finish at the end of class. 1. Suppose we know the following quantities: Z 5 Z 2 f (x) dx = 2 f (x) dx = −3 2 0 Z 2 Z 0 5 g(x) dx = −1 g(x) dx = 4 2 Evaluate the following quantities using the properties of the definite integral: Z 2 (a) f (x) dx = 5 5 Z (b) g(x) dx = 0 2 Z (2f (x) − 3g(x) dx = (c) 0 2. The graph below shows the geometrically nice function g(x) (made up of line segments and partial circles). Evaluate the following quantities using geometry and the properties of the definite integral: Z −3 (a) g(x) dx = −1 4 Z (b) g(x) dx = 0 Z 0 (c) − 2g(x) dx = −1 Z 4 (d) g(x) dx = −3 (e) Compute the average of g on the interval [−3, 4].

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