Average Valuesa. Verify that ?ln x dx = x ln x - x + C.b.

Chapter 5, Problem 117PE

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QUESTION:

Problem 117PE

Average Values

a. Verify that ∫ln x dx = x ln x - x + C.

b. Find the average value of ln x over [1, e].

Questions & Answers

QUESTION:

Problem 117PE

Average Values

a. Verify that ∫ln x dx = x ln x - x + C.

b. Find the average value of ln x over [1, e].

ANSWER:

SOLUTION:

Step 1:

In this question, we have to verify the given indefinite integral and find the average value of  over .

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