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 5.4, Problem 29E
To determine

To find : A function f

Expert Solution

Answer to Problem 29E

The function f is Ei(log(2x))Ei(log2)

Explanation of Solution

Given information: f(x)=2xx

Calculation: f(x)=2xx

Or, f(x)=2xxdx+c

= Ei(log(2x))+c...........(1) Where c is integrating constant

Also given that

  f(1)=0

Then putting x=1 in (1)

  f(1)=Ei(log2)+c

Or, 0=Ei(log2)+c

Or, c=Ei(log2)

Putting c=Ei(log2) in (1)

  f(x)=Ei(log(2x))Ei(log2)

Thus, the function f is Ei(log(2x))Ei(log2)

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