Chapter 4.3, Problem 33E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# Using Properties of Definite Integrals In Exercises 33-40, evaluate the definite integral using the values below. ∫ 2 6 x 3   d x = 320 ,         ∫ 2 6 x   d x = 16 ,         ∫ 2 6   d x = 4.         ∫ 6 2 x 3   d x

To determine

To calculate: Definite integral 62x3dx using the provided values

26x3dx=32026xdx=1626dx=4

Explanation

Given: âˆ«26x3dx=320âˆ«26xdx=16âˆ«26dx=4

The integral to be find out is:âˆ«62x3dx

Formula used: If f(x) is integrable on [a,b], then, âˆ«baf(x)dx=âˆ’âˆ«abf(x)â€‰dx

Calculation: Given integral is:

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