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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 14: Q. 23 (page 904)

an integral is given.
(a) What area does the integral represent?
(b) Provide a graph that illustrates this area.
(c) Use a graphing utility to approximate this area.
${鈭�}_{0}^{4} 3 x + 1 d x$

Short Answer

Expert verified

(a) The integral ${鈭�}_{0}^{4} 3 x + 1 d x$ represents the area under the curve $3 x + 1$

(b)

(c) $a r e a i s 28 .$

Step by step solution

01

Part (a) Step 1. Given

${鈭�}_{0}^{4} 3 x + 1 d x$

02

Part (a) Step 2. Calculation

The integral ${鈭�}_{0}^{4} 3 x + 1 d x$ represents the area under the curve $3 x + 1$ .

03

Part (b) Step 1. Graph

04

Part (c) Step 1. Area Calculation

Using the graphing utility the area is

${鈭�}_{0}^{4} 3 x + 1 d x = 28$

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