   Chapter 5, Problem 52RE ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Using Properties of Definite Integrals Given ∫ 0 3 f ( x )   d x = 4   and   ∫ 3 6 f ( x )   d x = − 1 evaluate each definite integral. ( a )   ∫ 0 6 f ( x )   d x ( b )   ∫ 6 3 f ( x )   d x                 ( c )   ∫ 3 3 f ( x )   d x ( d )   ∫ 3 6 − 10 f ( x )   d x

(a)

To determine

To calculate: The definite integral 06f(x)dx.

Explanation

Given Information:

The provided definite integral is 03f(x)dx=4 and 36f(x)dx=1.

Formula used:

The property of definite integrations:

abf(x)dx+bcf(x)dx=acf(x)dx,a<c<b

Calculation:

Consider the indefinite integral:

06f(x)dx

The property of definite integrations:

(b)

To determine

To calculate: The definite integral 63f(x)dx.

(c)

To determine

To calculate: The definite integral 33f(x)dx.

(d)

To determine

To calculate: The definite integral 3610f(x)dx.

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