# The diagram shows the curve with equation y = (x 2) ln x + 1, x > 0. a.

## Question:

The diagram shows the curve with equation y = (x − 2) ln x + 1, x > 0.

a. Complete the table with the values of y corresponding to x = 2 and x = 2.5.

Given that

b. Use the trapezium rule

i. With values of y at x = 1, 2 and 3 to find an approximate value for I, giving your answer to 4 significant figures.

ii. With values of y at x = 1, 1.5, 2, 2.5 and 3 to find another approximate value for I, giving your answer to 4 significant figures.

c. Use the diagram to explain why an increase in the number of values improves the accuracy of the approximation.

d. Show by integration, that the exact value of

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## Step by Step Answer:

Related Book For

## Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

Question Details
Chapter # 11
Section: Exercise 11i
Problem: 4
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Question Posted: August 20, 2023 11:44:19