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 43E
To determine

To Find:the value of 09[2f(x)+3g(x)]dx

Expert Solution

Answer to Problem 43E

  09[2f(x)+3g(x)]dx=122

Explanation of Solution

Given information:

  09f(x)dx=37 and 09g(x)dx=16

Concept Used:

  ab[f(x)+g(x)]dx=abf(x)dx+abg(x)dx

Calculation:

Use ab[f(x)+g(x)]dx=abf(x)dx+abg(x)dx

  09[2f(x)+3g(x)]dx=209f(x)dx+309g(x)dx

Therefore,

  09f(x)dx=37 and 09g(x)dx=16

  09[2f(x)+3g(x)]dx=2×37+3×1609[2f(x)+3g(x)]dx=122

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