   Chapter 5, Problem 13RQ ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. ∫ 0 3 e x 2   d x = ∫ 0 5 e x 2 d x + ∫ 5 3 e x 2 d x

To determine

whether the given statement is true or false.

Explanation

Given information:

The integral function is as follows:

03ex2dx=05ex2dx+35ex2dx (1)

Explanation for justification of statement:

Show the Property of integral (property 5) as follows:

abf(x)dx=acf(x)dx+cbf(x)dx (2)

Compare Equation (1) and (2).

Substitute 0 for a, 3 for b, 5 for c, and ex2 for f(x)

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