?Find a function \(f\) and a number \(a\) such that\(6+\int_{a}^{x} \frac{f(t)}{t^{2}} d

Chapter 4, Problem 93

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QUESTION:

Find a function \(f\) and a number \(a\) such that

\(6+\int_{a}^{x} \frac{f(t)}{t^{2}} d t=2 \sqrt{x} \quad \text { for all } x>0\)

Equation Transcription:

  for all  

Text Transcription:

f

a

6 +int_{a}^{x} \frac{f(t)}{t^{2}} d t=2 \sqrt{x} for all  x > 0

Questions & Answers

QUESTION:

Find a function \(f\) and a number \(a\) such that

\(6+\int_{a}^{x} \frac{f(t)}{t^{2}} d t=2 \sqrt{x} \quad \text { for all } x>0\)

Equation Transcription:

  for all  

Text Transcription:

f

a

6 +int_{a}^{x} \frac{f(t)}{t^{2}} d t=2 \sqrt{x} for all  x > 0

ANSWER:

Step 1 of 2

We are given that

Differentiate both sides with respect to ,

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