BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 5.2, Problem 19E
To determine

To find: The limit as a defined integral on the given interval

Expert Solution

Answer to Problem 19E

Defined integral on the interval [1,8]=182x+(x)2dx

Explanation of Solution

Given information:

  limni=1n2xi+(xi)2Δx , [1,8]

Concept Used:

If f(x) is integrable on [a,b] , then

  abf(x)dx=limni=1nf(xi)Δx

Where Δx=ban and xi=a+iΔx

Calculation:

Comparing the given limit limni=1n2xi+(xi)2Δx

with

  abf(x)dx=limni=1nf(xi)Δx

Here f(x)=2x+(x)2

And a=1

and b=8

Substitute a=1

and b=8 and f(x)=2x+(x)2

So, define integral on the interval [1,8]=182x+(x)2dx

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