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 22E
To determine

To Find: The integral of 14(x2+2x5)dx

Expert Solution

Answer to Problem 22E

The integral of 14(x2+2x5)dx=21

Explanation of Solution

Given information:

  14(x2+2x5)dx

Concept Used:

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

  abf(x)dx=limni=1nf(xi)Δx

Where Δx=ban and xi=a+iΔx

Calculation:

The integral is obtained as:

  14(x2+2x5)dxΔx=banΔx=41nΔx=3nxi=a+iΔxxi=1+3inf(xi)=(1+3in)2+2(1+3in)5

And

  Δx=3nlimni=1nf(xi)Δxlimni=1n((1+3in)2+2(1+3in)5)3nlimn[3n×14n2+21n+32n]limn[42n2+63n+92n2]=21

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!